KOBAYASHI Takayuki 小林孝行

… Alternative Names

Researcher Number	50272133 … More / 50272144 Less
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Affiliation (Current)	2019: 大阪大学, 基礎工学研究科, 教授
Affiliation (based on the past Project Information) *help	2013 – 2019: 大阪大学, 基礎工学研究科, 教授 2014: 大阪大学, 大学院基礎工学研究科, 教授 2012: 佐賀大学, 工学(系)研究科(研究院), 教授 2012: 佐賀大学, 工学系研究科, 教授 2010 – 2012: 佐賀大学, 大学院・工学系研究科, 教授 … More
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / Mathematical analysis / Basic Section 12020:Mathematical analysis-related Except Principal Investigator Basic analysis / Basic analysis / Global analysis / 解析学 / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / Mathematical analysis
Keywords	Principal Investigator 圧縮性流体 / Navier-Stokes方程式 / 圧縮性Navier-Stokes方程式 / Stokes方程式 / 圧縮性粘性流体 / Navier-Stokes / 関数方程式 / Navier-Stokes 方程式 / Stokes 方程式 / 消散型波動方程式 … More Except Principal Investigator Navier-Stokes方程式 / 漸近挙動 / 時間大域解 / 安定性 / 漸近安定性 / 圧縮性Navier-Stokes方程式 / 非圧縮性粘性流体 / absolute norm / 自由境界問題 / Oseen equation / 偏微分方程式 / エネルギー法 / 減衰評価 / 消散的波動方程式 / 定常解 / 解の爆発 / 圧縮性粘性流体 / Besov空間 / Stability / 自己相似解 / Stokes方程式 / perturbed half-space / 数学 / Navier-Stokes equation / 消散構造 / 安定性解析 / 双曲・楕円型方程式系 / 非線形拡散波 / 時間減衰評価 / 消散的Timoshenko系 / 重み付きエネルギー法 / 臨界指数 / 非線形偏微分方程式 / 緩和的双曲系 / 拡散波 / 最大正則性 / 相転移 / 適切性 / 2相流体 / 2相問題 / Ginzburg-Landau方程式 / 外部問題 / 実解析 / 基本解 / 粘性的保存則方程式 / 希薄波 / 定常波 / 調和写像流 / 解の正則性条件 / 対数型臨界Sobolev不等式 / Euler方程式 / 半導体素子方程式 / Oberbeck-Boussinesq方程式 / von Neumann-Jordan constant / James constant / uniform normal structure / Rademacher type-cotype / direct sum of Banach spaces / convex function / Clarkson-type inequality / Banach space / Geometry of Banach spaces / 移流拡散方程式 / Global solutions in time / Blowup solutions / Stationary solutions / sharp uniform convexity / type-cotype / strong type-cotype / Neumann問題 / 最大正則性原理 / 回転する物体 / 基礎解析学 / Stokes equation / Neumann problem / Maximal regularity / free boundary problem / flow past rotating body / 弾性体 / 怙性流体 / 時間的大域解の存在 / Wake region / 粘弾性体方程式 / 板の振動方程式 / 線形拡散波 / 粘性保存則 / 縮退定常波 / 放物・楕円型方程式系 / スケーリング / 双対変分構造 / 爆発 / 凝縮 / 量子化 / 点渦乱流 / 走化性 / 熱弾性 / 記憶形状物質 / 競合的走化性 / Lotka-Volterra系 / 点渦乱流平均場 / Gel’fand 方程式 / 退化放物型方程式 / Smoluchowski-Poisson方程式 / 量子化爆発機構 / 点渦乱流平均場方程式 / 漸近的非退化性 / 粘弾性記憶形状合金 / 圧縮性流体 / Hadamard変分 / 非線形現象 / 変分構造 / 自己組織化 / 特異性 / 非線形スペクトル力学 / タイプIIの爆発レート / 粘弾性熱方程式 / 腫瘍形成 / 質量量子化 / 循環的階層 / 双対変分原理 / 臨界ソボレフ指数 / コラプスの衝突 / サブコラプスの生成 / 量子化する爆発機構 / Timoshenko 系 / Euler-Poisson 系 / 調和解析 / 消散型波動方程式 / Timoshenko系 / Euler-Maxwell 方程式系 / 済散型波動方程式 / 粘弾性体方程式系 / 対称双曲系 / Euler-Maxwell方程式系 / 数学解析 / Lp適切性 / 表面張力 / 端点最大正則性 / 放物型方程式 / ベソフ空間 / ２相問題 / 熱力学平衡 / 平衡解 / コンパクト性 / compressible / asymptotic behavior / spectral anaylsis / stability / instability / bifurcation / ポワズイユ流 / 不安定 / 分岐 / 進行波解 / 非圧縮性Navier-Stokes方程式 / 時間周期解 / 空間周期解 / スペクトル解析 / スペクトル / 3次元外部領域 / physically reasonable solution / 2次元外部領域 / L_p-L_q評価 / Stokes半群 / Oseen半群 / L_<p,∞>空間 / diffusion wave / 非定常問題の安定性 / 定常問題 / 楕円型評価 / Littlewood-Payley分解 / L_p-L_q decay評価 / 3 dim. Exterior Domain / Navier-Stokes Equation / Physically Reasonable Solution / 2 dim. Exterior Domain / LィイD2pィエD2-LィイD2qィエD2 estimate / Stokes semigroup / Oseen semigroup / 準位統計 / 点過程 / 量子カオス / ランダム行列 / 不規則系 / エネルギー準位統計 / 量子準位統計 / アンダーソン局在 / ランダム・スペクトル / level statistics / point processes / quantum chaos / random matrices / disordered systems / 双曲・放物型方程式系 / 各点評価 / 非線形波 / 特異極限 / バーガース方程式 / 圧縮性ナビエ・ストークス方程式 / 双曲・楕円形方程式系 / 輻射気体 / hyperbolic-elliptic system / hyperbolic-parabolic system / fundamental solution / pointwise estimate / global solutions / asymptotic slability / nonlinear waves / singular limit / 非線形分散型方程式 / 解析的正則化 / Serrin条件Besov空間 / 実解析性 / 渦度 / KdV方程式 / 正則性 / Boltzmann方程式 / nonlinear dispersive equations / analytic smoothing effect / Navier-Stokes equations / harmonic heat flow / well posedness / regularity criterion / Besov spaces / the critical Sobolev inequality / Clarkson type inequality / geometry of Banach spaces / uniformly convex space / Jordan-von Neumann constant / absolute norm on C^n / type,cotype / normal structure / interpolation / 放物型方程式系 / 解の大域的存在 / 解の特異性 / Nonlinear partial differential equations / Advection-diffusion equations / Self-similar solutions / Oseen方程式 / 平行平板中の流れ / ストークス作用素 / 流れの安定性 / レゾルベント問題 / 自由境界値問題 / 基礎解析 / n-dim. Navier-Stokes equation / Ossen equation / Compressible fluid / 2 phase problem for the Stokes eq. / Ginzuburg-Landau-Maxwell eq. / Perfect wall conditon / Stokes eq. in the half space / Infinite layer domain / 定常解の安定性 / Perfect wall condition / オゼン方程式 / ストークス方程式 / 弾性体の方程式 / 重み付き評価 / Flew in the infinite layer / Stokes operator / Stability of the flew / Resolvent problem / Incompressible viscous fluid flow / Compressible viscous fluid flow / Free boundary value problem / 非線形移流拡散方程式 / 解の漸近形 / 解の減衰 / Convection-diffusion equations / Asymptotic profiles of solutions / 緩和的双曲型保存則系 / 双曲・楕円型連立系 / 双曲・放物型連立系 / 圧縮性Navier-stokes方程式 / 緩和的双曲型保存則方程式系 / エントロピー / Viscous conservation laws / Hyperbolic conservation laws with relaxation / Compressible Navier-Stokes equation / Dissipative Timoshenko system / Dissipative wave equations / Time global solutions / Asymptotic stability / Time decay estimates / Naveir-Stokes方程式 / 安定性・分岐 / 漸近牽動 / Oberbeck-Boussinesq equation / Navier-Stokes eqnation / Asymptotic behavior / ψ-direct sum of Banach spaces / norm inequality / typ-cotype / Convex function / φ-direct sum of Banach spaces / norm inequalitiy / Banach spaces / 波動方程式 / 外部領域 / エネルギー / 減衰 / 解の挙動 / エネルギー減衰 / 消散項 / 非有界領域 / Wave equation / exterior domain / Energy / decay / asymptotics of solutions / 非局所方物型方程式 / 半導体シュミレーション / 走化粘性菌モデル / 非線形消散型波動方程式 / ナビエ-ストークス方程式 / 臨界型Sobolev不等式 / 平均曲率流 / 非局所放物型方程式 / 臨界密度 / 走化性粘菌モデル / 非線形波動方程式 / 圧縮性ナビエ-ストークス方程式 / 熱方程式 / 数値アルゴリズム / 粘性解 / 鉄磁性モデル / Schroedinger写像 / ゲージ変換 / Dirac方程式 / 複素Ginzburg-Landau方程式 / 複数Ginzburg-Landau方程式 / nonl-local parabolic equations / drift-diffusion equations / semiconductor simulation / Chemotaxis / nonlinear damped wave equations / Naveir-Stokes equations / Critical Sobolev inequality / mean curvature flow / 関数解析 / 時間大域的適切性 / 初期値問題 / 初期値-境界値問題 / 流体方程式 / 函数方程式論 / 解析学 / 数理解析 / 局所適切性 / 関数方程式論 / 関数解析学 Less

Mathematical analysis of diffusion and diffusion wave property for the solutions to the system of the viscous fluid flowPrincipal InvestigatorOngoing
- Principal Investigator
  
  小林孝行
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka University
Well-posedness and stability of incompressible and compressible flows with phase transitionOngoing
- Principal Investigator
  
  清水扇丈
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Kyoto University
Diffusion wave property of the solutions to the system of the viscous fluid flowPrincipal Investigator
- Principal Investigator
  
  Takayuki Kobayashi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Osaka University
Free boundary problems for flows with phase transitions consistent with thermodynamics based on maximal regularity theorem
- Principal Investigator
  
  Shimizu Senjo
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
  Shizuoka University
Analysis of stablity and bifurcation for compressible fluid equations
- Principal Investigator
  
  KAGEI Yoshiyuki
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Stability analysis for nonlinear partial differential equations
- Principal Investigator
  
  KAWASHIMA Shuichi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Structure of the solutions to the system ofcompressible fluidPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Takayuki
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Saga University
Analysis for nonlinear critical phenomena described by mean field equations
- Principal Investigator
  
  SUZUKI Takashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Asymptotic analysis of systems of nonlinear partial differential equations describing motions of viscous fluids
- Principal Investigator
  
  KAGEI Yoshiyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Asymptotic structure of the solutions to the system of compressible fluidPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Takayuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Saga University
Characterization of dissipative structure for partial differential equations and application to the nonlinear stability analysis
- Principal Investigator
  
  KAWASHIMA Shuichi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
On a stability of the solutions to the equations of the Compressible flowPrincipal Investigator
- Principal Investigator
  
  KOBAYASHI Takayuki
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Saga University
Study of the stability of solutions to some nonlinear evolution equations based on recent development of real analysis
- Principal Investigator
  
  SHIBATA Yoshihiro
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Reseach for the singularities and regularity of solutions to crtical nonlinear partial differential equations
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
  Kyushu University
圧縮性Navier-Stokes方程式の解の漸近安定性の研究Principal Investigator
- Principal Investigator
  
  小林孝行
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Saga University
  Kyushu Institute of Technology
Asymptotic behavior of solutions and stability of nonlinear waves for equations of gas motion
- Principal Investigator
  
  KAWASHIMA Shuichi
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
Mathematical analysis of thermal convection equations
- Principal Investigator
  
  KAGEI Yoshiyuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  KYUSHU UNIVERSITY
RESEARCH ON GEOMETRIC STRUCTURES OF BANACH AND FUNCTION SPACES AND APPLICATIONS
- Principal Investigator
  
  KATO Mikio
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu Institute Of Technology
A study on asymptotic behavior of solutions for evolution equations
- Principal Investigator
  
  IKEHATA Ryo
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Asymptotic Profiles of Solutions to Nonlinear Convection-Diffusion Equations
- Principal Investigator
  
  NAGAI Toshitaka
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  HIROSHIMA UNIVERSITY
外部領域における圧縮性Navier-Stokes方程式の解の漸近挙動と拡散の研究Principal Investigator
- Principal Investigator
  
  小林孝行
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu Institute of Technology
Real analytic approach to the stability theory of nonlinear evolution equations
- Principal Investigator
  
  SHIBATA Yoshihiro
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
Study on the fundamental solutions to the equations of radiating gases and its applications
- Principal Investigator
  
  KAWASHIMA Shuichi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
Asymptotic Analysis for Singularities of Solutions to Nonlinear Partial Differential Equations
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  KYUSHU UNIVERSITY
OPERATOR THEORETICAL RESEARCH ON GEOMETRY OF BANACH SPACES AND APPLICATIONS
- Principal Investigator
  
  KATO Mikio
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU INSTITUTE OF TECHNOLOGY
Analysis on Singularities of Solutions to Nonlinear Partial Differential Equations
- Principal Investigator
  
  NAGAI Toshitaka
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
An application of real aualytical wethad to nonlinear evolution eguations
- Principal Investigator
  
  SHIBATA Yoshihiro
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Waseda University
Probabilistic and statistical approach to spectra of quantum Hamiltonians.
- Principal Investigator
  
  MINAMI Nariyuki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  University of Tsukuba
非線形発展方程式の解の構造
- Principal Investigator
  
  柴田良弘
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  University of Tsukuba

[Book] The Proceedings on Mathematical Fluid Dynamics and nonlinear Wave2015
- Author(s)
  T. Kobayashi, S. Shimizu, Y. Enomoto, N. Yamaguchi, T. Kubo
- Total Pages
  192
- Publisher
  Gakkotosho Tokyo Japan
- Data Source
  KAKENHI-PROJECT-25400175
[Journal Article] Time decay estimate with diffusion wave property and smoothing effect for solutions to the compressible Navier-Stokes-Korteweg system2019
- Author(s)
  T. Kobayashi and K. Tsuda
- Journal Title
  
  Funkcialaj Ekvacioj
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03368
[Journal Article] Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov space2019
- Author(s)
  N. Chikami and T. Kobayashi
- Journal Title
  
  Journal of Mathematical Fluid Mechanics
  
  Volume: to appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03368
[Journal Article] On a local energy decay estimate of solutions to the hyperbolic type Stokes equations2018
- Author(s)
  T. Kobayashi, T. Kubo and K. Nakamura
- Journal Title
  
  Journal of Differential Equations,
  
  Volume: 263, 10 Pages: 6061-6081
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03368
[Journal Article] Weighted Lp- Lq Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-Stokes Equations2016
- Author(s)
  T. Kobayashi and T. Kubo
- Journal Title
  
  Recent Developments of Mathematical Fluid Mechanics, Advances in Mathematical Fluid Mechanics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340028
[Journal Article] Weighted Lp-Lq estimates of Stokes semigroup in half-space and its application to the Navier-Stokes equations2016
- Author(s)
  T. Kobayashi and T. Kubo
- Journal Title
  
  Recent developments of mathematical fluid mechanics, Adv. Math. Fluid Mech., Birkhauser/Springer, Basel
  
  Volume: なし Pages: 337-349
- DOI
  10.1007/978-3-0348-0939-9_18
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25400175, KAKENHI-PROJECT-24340025, KAKENHI-PROJECT-16H03945
[Journal Article] Weighted estimate of Stokes semigoup in unbounded domains2015
- Author(s)
  Takayuki Kobayashi, Takayuki Kubo
- Journal Title
  
  Adv. Stud. Pure Math.
  
  Volume: 64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340025
[Journal Article] L2 boundedness of the solutions to the 2D Navier-Stokes equations and hyperbolic Navier-Stokes equations2015
- Author(s)
  T. Kobayashi
- Journal Title
  
  RIMS kokyuroku.
  
  Volume: 1971 Pages: 69-75
- Data Source
  KAKENHI-PROJECT-25400175
[Journal Article] Weighted estimate of Stokes semigroup in unbounded domains2014
- Author(s)
  T. Kobayashi and T. Kubo
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340028
[Journal Article] Weighted estimate of Stokes semigroup in unbounded domains.2014
- Author(s)
  T. Kobayashi and T. Kubo
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 64 Pages: 427-435
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400175
[Journal Article] Fluid mechanical approximation to the degenerated drif-diffusion and chemotaxis equations in barotoropic model2014
- Author(s)
  Takayuki Kobayashi and Takayoshi Ogawa
- Journal Title
  
  Indiana Univ. Math. J.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244009
[Journal Article] Weighted Lp-Lq estimates of the Stokes semigroup in some unbounded domains equations2013
- Author(s)
  T. Kobayashi and T. Kubo
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 37. No.2 Pages: 179-205
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400175
[Journal Article] L2 boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations2013
- Author(s)
  T. Kobayashi and M. Misawa
- Journal Title
  
  Rims Kokyuroku Bessatsu: Harmonic Analysis and Nonlinear Partial Differential Equations. eds. T. Ozawa, M. Sugimoto
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540202
[Journal Article] Weighted Lp-Lq estimates of the Stokes semigroup in some unbounded domains equations2013
- Author(s)
  T. Kobayashi and T. Kubo
- Journal Title
  
  Tsukuba Journal of Mathematics
  
  Volume: 37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340028
[Journal Article] Approximation of semigroups of Lipschitz operators2013
- Author(s)
  Yoshikazu Kobayashi, Naoki Tanaka
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 397 Pages: 529-536
- DOI
  10.1016/j.jmaa.2012.07.069
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540183, KAKENHI-PROJECT-23540206, KAKENHI-PROJECT-24340025
[Journal Article] Fluid Mechanical Approximation to the Degenerated Drift-Diffusion System from Compressible Navier-Stokes-Poisson system2013
- Author(s)
  T. Kobayashi and T. Ogawa
- Journal Title
  
  Indiana Univ. Math. J.
  
  Volume: 62
- NAID
  130004604066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340028
[Journal Article] L2 boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations2013
- Author(s)
  T. Kobayashi and M. Misawa
- Journal Title
  
  Rims Kokyuroku Bessatsu
  
  Volume: B42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340028
[Journal Article] Fluid Mechanical Approximation to the Degenerated Drift-Diffusion System from Compressible Navier-Stokes-Poisson system2013
- Author(s)
  T. Kobayashi and T. Ogawa
- Journal Title
  
  Indiana University Mathematics Journal.
  
  Volume: -
- NAID
  130004604066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540202
[Journal Article] Fluid Mechanical Approximation to the Degenerated Drift-Diffusion System from Compressible Navier-Stokes-Poisson system2013
- Author(s)
  T. Kobayashi and T. Ogawa
- Journal Title
  
  Indiana Univ. Math. J.
  
  Volume: 62. No. 3. Pages: 1021-1054
- NAID
  130004604066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400175
[Journal Article] L2 boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations2013
- Author(s)
  T. Kobayashi and M. Misawa
- Journal Title
  
  Rims Kokyuroku Bessatsu
  
  Volume: B42 Pages: 1-11
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400175
[Journal Article] Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space2012
- Author(s)
  R. Kobayashi
- Journal Title
  
  ESAIM : Control, Optimisation and Calculus of Variations
  
  Volume: 18 Pages: 1097-1121
- DOI
  10.1051/cocv/2011191
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244009, KAKENHI-PROJECT-23740117, KAKENHI-PROJECT-24340028
[Journal Article] Decay Property for the linear wave equations in two dimensional exterior domains.2011
- Author(s)
  M. Misawa, S. Okamura and T. Kobayashi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 63, No.1 Pages: 263-294
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540202
[Journal Article] Decay Property for the linear wave equations in two dimensional exterior domains.2011
- Author(s)
  S.Okamura, T.Kobayashi, M.Misawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: (To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540202
[Journal Article] Decay Property for the linear wave equations in two dimensional exterior domains2011
- Author(s)
  S.Okamura, T.Kobayashi, M.Misawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 24.No.9-10 Pages: 941-964
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540202
[Journal Article] Decay Property for the linear wave equations intwo dimensional exterior domains2010
- Author(s)
  S, Okamura, T, Kobayashi, M.Misawa
- Journal Title
  
  Differential and Integral Equations
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Stationary solutions to the drift-diffusion model in the whole space2009
- Author(s)
  R.Kobayashi
- Journal Title
  
  Math. Meth. Appl. Sci. 32
  
  Pages: 640-652
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] Stationary solutions to the drift-diffusion model in the whole space2009
- Author(s)
  R. Kobayashi, M. Kurokiba, S. Kawashima
- Journal Title
  
  Math. Meth. Appl. Sci. 32
  
  Pages: 640-652
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] Stationary solutions to the drift-diffusion model in the whole space2009
- Author(s)
  R. Kobayashi
- Journal Title
  
  Math. Meth. Appl. Sci. 32
  
  Pages: 640-652
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] Stationary solutionsto the drift-diffusion model in the whole space2008
- Author(s)
  R.Kobayashi
- Journal Title
  
  Math.Models Appl.Sci. (In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] Weak solutions to the Navier-Stokes-Poisson equation2008
- Author(s)
  T.Kobayashi and T.Suzuki
- Journal Title
  
  Advances in Mathematical Sciences and Applications Number 18 of Volumel(to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540191
[Journal Article] Weak solutions to the Navier-Stokes equation2008
- Author(s)
  T. Kobayashi, T. Suzuki
- Journal Title
  
  Advances in Differential Equations. Number18ofVolume1
  
  Pages: 141-168
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540191
[Journal Article] Weak solutions to the Navier-Stokes equation2008
- Author(s)
  T. Kobayashi, T. Suzuki
- Journal Title
  
  Advances in Differential Equations 1
  
  Pages: 141-168
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340033
[Journal Article] Decay estimates and large time behavior of solutions to the drift-diffusion system2008
- Author(s)
  R. Kobayashi
- Journal Title
  
  Funkcialaj Ekvacioj 51
  
  Pages: 371-394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] Weak solutions to the Navier-Stokes-Poisson equation2008
- Author(s)
  T.Kobayashi
- Journal Title
  
  Adv.Math.Sci.Appl. 18(In press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] Decay estimates and large time behavior of solutions to the drift-diffusion system2008
- Author(s)
  R. Kobayashi, S. Kawashima
- Journal Title
  
  Funkcialaj Ekvacioj 51
  
  Pages: 371-394
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] Weak solutions to the Navier-Stokes-Poisson equation2008
- Author(s)
  T. Kobayashi, T. Suzuki
- Journal Title
  
  Advances in Mathematical Sciences and Applications Number 18 Vol 1
  
  Pages: 141-168
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540191
[Journal Article] Weak solutions to the Navier-Stokes-Poisson equation2008
- Author(s)
  T. Kobayashi and T. Suzuki
- Journal Title
  
  Adv. Math. Sci. Appl.
  
  Volume: 18 Pages: 141-168
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Weak solutions to the Navier-Stokes-Poisson equation2008
- Author(s)
  T. Kobayashi, T. Suzuk
- Journal Title
  
  Advances in Mathematical Sciences and Applications (To appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340033
[Journal Article] Weak solutions to the equations of Magnet-Hydrodynamics2007
- Author(s)
  T. Kobayashi, T. Suzuki
- Journal Title
  
  Proceedings of the National Institute for Mathematical Sciences. Vol.2
  
  Pages: 175-180
- Data Source
  KAKENHI-PROJECT-19540191
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2006
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  J.Math.Fluid Mech. (in press)
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2006
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math.Fluid Mech. 8
  
  Pages: 382-397
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2006
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J. Math. Fluid Mech. 8
  
  Pages: 382-397
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2006
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J. Math. Fluid Mech. 8
  
  Pages: 382-397
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2006
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe.
- Journal Title
  
  J. Math. Fluid Mech. 8
  
  Pages: 382-397
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2006
- Author(s)
  T.Kobayashi
- Journal Title
  
  J. Math. Fluid Mech. 8
  
  Pages: 382-397
- Data Source
  KAKENHI-PROJECT-18340040
[Journal Article] 星雲方程式の弱解にっいて2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  数理解析研究所講究録 1430
  
  Pages: 76-81
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space,2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch.Ration.Mech.Anal. 177
  
  Pages: 231-330
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch.Rational Mech.Anal. 177
  
  Pages: 231-330
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] 星雲方程式の弱解について,2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  数理解析研究所講究録 1430
  
  Pages: 76-81
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Asymptotic behavior solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Regularity and other aspects of the Navier-Stokes equations, Banach Center Publications (Institute of Mathematics Warszawa) Vol. 70
  
  Pages: 131-138
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch.Ration.Mech.Anal. 177
  
  Pages: 231-330
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2005
- Author(s)
  T.Kobayashi
- Journal Title
  
  J.Math.Fluid Mech
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space,2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Regularity and other aspects of the Navier-Stokes equations Banach Center Publications 70
  
  Pages: 131-138
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Weak solutions to the Navier-Stokes-Poisson equtions2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  Gakuto Internat. Series Math. Sci. ＆ Appl. 22
  
  Pages: 173-178
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Weak solution of a model for gasious stars2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  RIMS Kokyu-roku 1430
  
  Pages: 76-81
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch. Ration. Mech. Anal. 177
  
  Pages: 231-330
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Weak solutions to the Navier-Stokes-Poisson equtions2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  Gakuto Internat.Series Math.Sci. & Appl. 22
  
  Pages: 173-178
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Asymptotic behaviour of solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch.Rational Mech.Anal. 177
  
  Pages: 231-330
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340204
[Journal Article] 星雲方程式の弱解について2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  数理解析研究所講究録 1430
  
  Pages: 76-81
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Weak solutions to the Navier-Stokes Poisson equations2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  GAKUTO Internatinal Ser. Math. Sci. Appl. 22
  
  Pages: 173-178
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Asymptotic behavior solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch. Rational Mech. Anal. 177
  
  Pages: 231-330
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] 星雲方程式の弱解について2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  数理解析研究所講究録 1430
  
  Pages: 76-81
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space,2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch.Rat.Mech.Anal. in press
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Regularity and other aspects of the Navier-Stokes equations Banach Center Publications, Institute of Mathematics Warszawa 70
  
  Pages: 131-138
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems,2005
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math. Fluid Mech. in press
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Weak solutions to the Navier-Stokes Poisson equations2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  GAKUTO International Ser. Math. Sci. Appl. vol. 22
  
  Pages: 173-178
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch. Rational Mech. Anal. 177
  
  Pages: 231-330
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Weak solutions to the Navier-Stokes Poisson equations2005
- Author(s)
  T.Kobayashi, T.Suzuki
- Journal Title
  
  GAKUTO Internatinal Ser.Math.Sci.Appl. 22
  
  Pages: 173-178
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space2005
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Banach Center Publications 70
  
  Pages: 131-138
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems,2005
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math.Fluid Mech. (in press)
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2004
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe.
- Journal Title
  
  RIMS Kokyu-roku 1368
  
  Pages: 65-71
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems2004
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  数理解析研究所講究録 1368
  
  Pages: 65-71
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface regularity for Maxwell and Stokes systems.2003
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  Osaka J. Math. 40
  
  Pages: 925-944
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface regularity for Maxwell and Stokes systems2003
- Author(s)
  T.Kobayashi
- Journal Title
  
  Osaka Math.J. 40
  
  Pages: 925-944
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] Interface regularity for Maxwell and Stokes systems2003
- Author(s)
  T.Kobayashi
- Journal Title
  
  Osaka J. Math. 40
  
  Pages: 925-944
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] Interface regularity for Maxwell and Stokes systems2003
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  Osaka J.Math. 40
  
  Pages: 925-944
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Interface regularity for Maxwell and Stokes systems.2003
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  Osaka J.Math. 40
  
  Pages: 925-944
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340056
[Journal Article] Interface regularity for Maxwell and Stokes systems2003
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  Osaka J.Math. 40-4
  
  Pages: 925-944
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] On large-time behavior of solutions to the compressible Navier-Stokes Equations in the half space in $R^3$2002
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Arch.Rational Mech.Anal. 165
  
  Pages: 89-159
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Remark on the rate of decay of solutions to linearlized for the compressible Navier-Stokes equations2002
- Author(s)
  T.Kobayashi, Y.Shibata
- Journal Title
  
  Pacific J.Math. 207
  
  Pages: 199-234
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] L_2 and L_{infty} estimates of the solutions for the compresible Navier-Stokes equations in a 3D exterior domain2002
- Author(s)
  T.Kobayashi
- Journal Title
  
  Publ. RIMS. Kyoto Univ. 38
  
  Pages: 211-225
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] L_2 and L_{infty} estimates of the solutions for the compresible Navier-Stokes equations in a 3D exterior domain in R^32002
- Author(s)
  T.Kobayashi
- Journal Title
  
  Publ.RIMS.Kyoto Univ. 38
  
  Pages: 211-225
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] $L_2$ and $L_{infty}$ estimates of the solutions for the compressible Navier-Stokes equations in a 3D exterior domain in $R^3$2002
- Author(s)
  T.Kobayashi
- Journal Title
  
  Publ.RIMS.Kyoto Univ. 38
  
  Pages: 211-225
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Remarks on the rate of decay of solutions to linearized for the compressible Navier-Stokes equations2002
- Author(s)
  T.Kobayashi
- Journal Title
  
  Pacific J.Math. 207
  
  Pages: 199-234
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] Some estimates of solutions for the equations of motion of compressible viscousfluid in an exterior domain in ${bf R}^3$2002
- Author(s)
  T.Kobayashi
- Journal Title
  
  J.Differential Equation 184
  
  Pages: 587-587
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Remarks on the rate of decay of solutions to linearized for the compressible Navier-Stokes equations2002
- Author(s)
  T.Kobayashi
- Journal Title
  
  Pacific J. Math. 207
  
  Pages: 199-234
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] Some estimates of solutions for the equations of motion of compressible viscous fluid in an exterior domain in R^32002
- Author(s)
  T.Kobayashi
- Journal Title
  
  J. Differential Equations 184
  
  Pages: 587-61
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] Some estimates of solutions for the equations of motion of compressible viscous fluid in an exterior domain in R^32002
- Author(s)
  T.Kobayashi
- Journal Title
  
  J.Differential Equations 184
  
  Pages: 587-61
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340047
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math.Fluid Mech. (to appear)
- Data Source
  KAKENHI-PROJECT-14740104
[Journal Article] $L 2$ boundedness for the 2D exterior problems for the semi 1i near heat and dissipative wave equations
- Author(s)
  T. Kobayashi. M. Misawa
- Journal Title
  
  Rims kokyuroku Bessatsu : Harmonic Analysis and Nonlinear Partial Differential Equations, eds T.
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340028
[Journal Article] Fluid Mechanical Approximation to the Degenerated Drift-Diffusion System from Compressible Navier-Stokes-Poisson system
- Author(s)
  T. Kobayashi and T. Ogawa
- Journal Title
  
  Indiana University Mathematics Journal
- NAID
  130004604066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540202
[Journal Article] L2 boundedness for the 2D exterior problems for the semilinear heat and dissipative wave equations
- Author(s)
  T. Kobayashi and M. Misawa
- Journal Title
  
  Rims Kokyuroku Bessatsu: Harmonic Analysis and Nonlinear Partial Differential Equations. eds. T. Ozawa, M. Sugimoto
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540202
[Journal Article] Fluid Mechanical Approximation to the Degenerated Drift-Diffusion System from Compressible Navier-Stokes-Poisson system.
- Author(s)
  T. Kobayashi, T. Ogawa
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: (to appear)
- NAID
  130004604066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340028
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math.Fluid Mech. (to appear)
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Archive for Rational Mechanics and Analysis (to appear)
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems,
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math.Fluid Mech. (to appear)
- Data Source
  KAKENHI-PROJECT-17540167
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math.Fluid Mech. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space
- Author(s)
  R.Kobayashi
- Journal Title
  
  ESAIM : Control, Optimisation and Calculus of Variations
  
  Volume: (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244009
[Journal Article] Interface vanishing for solutions to Maxwell and Stokes systems
- Author(s)
  T.Kobayashi, T.Suzuki, K.Watanabe
- Journal Title
  
  J.Math.Fluid Mech. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Archive for Rational Mechanics and Analysis (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
- Author(s)
  Y.Kagei, T.Kobayashi
- Journal Title
  
  Archive for Rational Mechanics and Analysis (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340057
[Presentation] Global existence of solutions to the compressible Navier-Stokes-Korteweg system2019
- Author(s)
  T. Kobayashi
- Organizer
  第36回九州における偏微分方程式研究集会, 九州大学西新プラザ
- Invited
- Data Source
  KAKENHI-PROJECT-18K03368
[Presentation] Global existence and time decay estimate of solutions to the compressible Navier-Stokes-Korteweg system under critical condition2019
- Author(s)
  T. Kobayashi
- Organizer
  Maximal regularity and nonlinear PDE, RIMS, Kyoto University
- Invited
- Data Source
  KAKENHI-PROJECT-18K03368
[Presentation] Stability problem for a constant equilibrium to the Compressible Navier-Stokes-Korteweg system2018
- Author(s)
  T. Kobayashi
- Organizer
  Mathematical Fluid Mechanics and Related Topic, Tokyo Inst. Tech.
- Invited
- Data Source
  KAKENHI-PROJECT-18K03368
[Presentation] On a local energy decay estimates of solutions to the Hyperbolic type Stokes equations2018
- Author(s)
  T. Kobayashi
- Organizer
  Conference on Mathematical Fluid Dynamics, Bad Boll, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-18K03368
[Presentation] Decay property for the Compressible Navier-Stokes-Korteweg system2018
- Author(s)
  T. Kobayashi
- Organizer
  Workshop on Mathematical Sciences, Wayamba University, Sri Lanka
- Invited
- Data Source
  KAKENHI-PROJECT-18K03368
[Presentation] On a local energy decay estimates of solutions to the linear hyperbolic Navier Stokes equations2018
- Author(s)
  T. Kobayashi
- Organizer
  The Third Wayamba International Conference, Wayamba University, Sri Lanka
- Invited
- Data Source
  KAKENHI-PROJECT-18K03368
[Presentation] Decay estimates of the solutions to the 2D compressible Navier-Stokes equation2016
- Author(s)
  T. Kobayashi
- Organizer
  The Navier-Stokes Equations and Related Topics
- Place of Presentation
  愛知県名古屋市, 名古屋大学大学院多元数理科学研究科
- Year and Date
  2016-03-07
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Decay estimates of the solutions to the 2D compressible Navier-Stokes equation2016
- Author(s)
  T. Kobayashi
- Organizer
  International Conference The Navier-Stokes Equations and Related Topics
- Place of Presentation
  Nagoya University, Japan
- Year and Date
  2016-03-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] 圧縮性Navier-Stokes方程式の解の漸近挙動2016
- Author(s)
  小林孝行
- Organizer
  応用非線形偏微分方程式論の展開
- Place of Presentation
  大阪府豊中市大阪大学基礎工学研究科
- Year and Date
  2016-03-27
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2-boundedness of the solutions to the 2D compressible Navier-Stokes equations2015
- Author(s)
  T. Kobayashi
- Organizer
  Mathflows 2015
- Place of Presentation
  The IGESA center，Porquerolles, France
- Year and Date
  2015-09-13
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Decay estimates of the solutions to the 2D linear viscoelastic equations and its applications to the compressible Navier-Stokes equations2015
- Author(s)
  T. Kobayashi
- Organizer
  International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics
- Place of Presentation
  Nishi-Waseda Campus, Waseda University, Tokyo
- Year and Date
  2015-11-10
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] ２次元圧縮性 Navier-Stokes 方程式の解の漸近挙動について2015
- Author(s)
  小林孝行
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  福岡県北九州市 ,小倉リーセントホテル
- Year and Date
  2015-11-28
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2-boundedness of the solutions to the 2D compressible Navier-Stokes equations2015
- Author(s)
  T. Kobayashi
- Organizer
  国際研究集会「Mathflows 2015」
- Place of Presentation
  The IGESA center，Porquerolles, France
- Year and Date
  2015-09-12
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] Decay estimates of the solutions to the 2D linear viscoelastic equations and its applications to the compressible Navier-Stokes equations2015
- Author(s)
  T. Kobayashi
- Organizer
  International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics
- Place of Presentation
  Waseda University, Japan
- Year and Date
  2015-11-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] L2 boundedness of the solutions to the 2D linear viscoelastic equations and its applications2014
- Author(s)
  小林孝行
- Organizer
  NLPDEセミナー
- Place of Presentation
  京都大学理学部(京都府左京区)
- Year and Date
  2014-05-16
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] ２次元線形粘性弾性体方程式と２次元 Navier-Stokes 方程式の解の L2 有界性2014
- Author(s)
  小林孝行
- Organizer
  大阪大学数学教室微分方程式セミナー
- Place of Presentation
  大阪大学理学部(大阪府豊中市)
- Year and Date
  2014-04-25
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Decay estimates of the solutions to the 2D Hyperbolic Navier-Stokes equations2014
- Author(s)
  T. Kobayashi
- Organizer
  Wayamba International Conference 2014
- Place of Presentation
  Wayamba University of Sri Lanka, Kuliyapitiya, Sri Lanka
- Year and Date
  2014-08-29
- Invited
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] ２次元双曲型 Navier-Stokes 方程式の解の L2 有界性2014
- Author(s)
  小林孝行
- Organizer
  南大阪応用数学セミナー
- Place of Presentation
  大阪府立大学中百舌鳥キャンパス(大阪府堺市)
- Year and Date
  2014-04-26
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2 boundedness of the solutions to the 2D Hyperbolic Navier-Stokes equations2013
- Author(s)
  T. Kobayashi
- Organizer
  Mathematical Analysis of Nonlinear Partial Differential Equations
- Place of Presentation
  九州大学西新プラザ（福岡市福岡市早良区）
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2 boundedness of solutions to the 2D exterior problems for the semilinear heat and dissipative wave equations2013
- Author(s)
  T. Kobayashi
- Organizer
  9th International Isaac congress
- Place of Presentation
  Pedagogical University, Krakow, Poland
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2 boundedness of solutions to the 2D dissipative wave equations2013
- Author(s)
  T. Kobayashi
- Organizer
  Nonlinear Wave Equations and Fluid Mechanics
- Place of Presentation
  室蘭工業大学数学ゼミナール室（北海道室蘭市）
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2 boundedness of solutions to the 2D exterior problems for the semilinear heat and dissipative wave equations2013
- Author(s)
  T. Kobayashi
- Organizer
  9th International Isaac congress
- Place of Presentation
  Krakow, Poland
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] L2 boundedness of the solutions to the 2D heat equations and the 2D Navier-Stokes equations2013
- Author(s)
  T. Kobayashi
- Organizer
  Analysis Seminar, Pisa
- Place of Presentation
  Pisa University, Italy
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] L2 boundedness of the solutions to the 2D heat equations and the 2D Navier-Stokes equations.2013
- Author(s)
  T. Kobayashi
- Organizer
  Analysis Seminar, Pisa
- Place of Presentation
  Pisa University, Pisa, Italy
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Weighted Lp-Lq estimates of Stokes semigroup in exterior domains2012
- Author(s)
  Takayuki Kubo
- Organizer
  Parabolic and Navier-Stokes equations 2012
- Place of Presentation
  ベドレオ(ポーランド)(招待講演)
- Year and Date
  2012-09-06
- Data Source
  KAKENHI-PROJECT-24340025
[Presentation] L2 boundedness for the solutions to the 2D Navies-Stokes equations2012
- Author(s)
  Takayuki Kobayashi
- Organizer
  arabolic and Navier-Stokes Equations 2012
- Place of Presentation
  Banach center, Bedlewo, Poland(招待講演)
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] L^2 boundedness for the solutions to the 2D Navier-Stokes equations2012
- Author(s)
  Takayuki Kobayashi
- Organizer
  Parabolic and Navier-Stokes equations 2012
- Place of Presentation
  ベドレオ(ポーランド)(招待講演)
- Year and Date
  2012-09-06
- Data Source
  KAKENHI-PROJECT-24340025
[Presentation] L2 boundedness for the solutions to the 2D semilinear heat equations and the 2D Navier-Stokes equations2012
- Author(s)
  Takayuki Kobayashi
- Organizer
  The 7th Japanese-German International Workshop on Mathematical Fluid Dynamics
- Place of Presentation
  早稲田大学
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] L2 boundedness for the solutions to the 2D Wave equations with damping or strong damping terms2012
- Author(s)
  小林孝行
- Organizer
  松山解析セミナー
- Place of Presentation
  愛媛大学
- Year and Date
  2012-02-03
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] L2 boundedness of solutions for the 2D semilinear dissipative wave equations2012
- Author(s)
  T. Kobayashi
- Organizer
  RIMS 研究集会「調和解析と非線形偏微分方程式」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-07-04
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] L2 boundedness for the solutions to the 2D Navies-Stokes equations2012
- Author(s)
  T. Kobayashi
- Organizer
  Parabolic and Navier-Stokes Equations
- Place of Presentation
  Banach center, Bedlewo, Poland
- Year and Date
  2012-09-06
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] L2 boundedness for the solutions to the 2D semilinear heat equations and the 2D Navier-Stokes equations2012
- Author(s)
  T. Kobayashi
- Organizer
  JSPS-DFG Japanese-German Graduate Externship "The 7th Japanese-German International Workshop on Mathematical Fluid Dynamics"
- Place of Presentation
  Waseda University Tokyo, Japan.
- Invited
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Decay property of solutions to the 2D Wave equations with damping terms or strong damping terms2011
- Author(s)
  T. Kobayashi
- Organizer
  Pohang-Kyushu workshop on Partial Differential Equations.
- Place of Presentation
  POSTECH, Pohang, 韓国
- Year and Date
  2011-06-17
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Navier Stokes方程式の解の重み付き減衰評価について2011
- Author(s)
  小林孝行
- Organizer
  浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学
- Year and Date
  2011-12-26
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates of the solutions to the Navier-Stokes equations in half space and perturbed half-space2011
- Author(s)
  T. Kobayashi
- Organizer
  Workshop on Applied Mathematics Euskadi-Kyushu 2011
- Place of Presentation
  Basque Center for Applied Mathematics, Spain
- Year and Date
  2011-03-10
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates of the solutions to the Navier-Stokes equations in half space and perturbed half-space2011
- Author(s)
  T.Kobayashi
- Organizer
  第3回名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学(招待講演)
- Year and Date
  2011-02-14
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Weighted L^p estimates of the solutions to the Navier-Stokes equations2011
- Author(s)
  小林孝行
- Organizer
  熊本大学応用解析セミナー
- Place of Presentation
  熊本大学
- Year and Date
  2011-02-19
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] 2次元熱方程式のL2有界性と応用について2011
- Author(s)
  小林孝行
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  九州工業大学
- Year and Date
  2011-11-26
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates of the solutions to the Navier-Stokes equations in half space and perturbed half-space.2011
- Author(s)
  T.Kobayashi
- Organizer
  Workshop on Applied Mathematics Euskadi-Kyushu2011
- Place of Presentation
  Basque Center for Applied Mathematics, Spain.
- Year and Date
  2011-03-10
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted Lp theory for the Stokes resolvent in some unbounded domains2011
- Author(s)
  T. Kobayashi
- Organizer
  第4回日独流体数学国際研究集会
- Place of Presentation
  早稲田大学
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted Lp estimates of the solutions to the Navier-Stokes equations in some unbounded domains2011
- Author(s)
  小林孝行
- Organizer
  京都大学「NLPDEセミナー」
- Place of Presentation
  京都大学
- Year and Date
  2011-12-09
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Stokes半群の重み付き評価とNavier-Stokes方程式への応用2011
- Author(s)
  小林孝行
- Organizer
  東北大学「応用数学セミナー」
- Place of Presentation
  東北大学
- Year and Date
  2011-11-10
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Decay property of solutions to the 2D Wave equations with damping terms or strong damping terms2011
- Author(s)
  T.Kobayashi
- Organizer
  Pohang-Kyushu workshop on Partial Differential Equations
- Place of Presentation
  POSTECH, Pohang,韓国
- Year and Date
  2011-06-17
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted Lp theory for the Stokes resolvent in some unbounded domains2011
- Author(s)
  T.Kobayashi
- Organizer
  第4回日独流体数学国際研究集会
- Place of Presentation
  早稲田大学
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates of the solutions to the Navier-Stokes equations in half space and perturbed half-space2011
- Author(s)
  T.Kobayashi
- Organizer
  第3回名古屋微分方程式研究集会
- Place of Presentation
  名古屋大学
- Year and Date
  2011-02-14
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates for the Stokes semigroup in half space and perturbed half-space2010
- Author(s)
  T. Kobayashi
- Organizer
  Regularity aspects of PDE - a week for Wojciech Zajaczkowski
- Place of Presentation
  Banach center,Bedlewo,Poland
- Year and Date
  2010-09-11
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates of the solutions to the Navier-Stokes equations in unbounded domains2010
- Author(s)
  T.Kobayashi
- Organizer
  日韓共同セミナーによる研究集会:「非線形偏微分方程式に対する正則性特異性に関する研究集会」
- Place of Presentation
  成均館大学,韓国
- Year and Date
  2010-10-15
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates for the Stokes semigroup in half space and perturbed half-space2010
- Author(s)
  T.Kobayashi
- Organizer
  Regularity aspects of PDE-a week for Wojciech Zajaczkowski
- Place of Presentation
  Bedlewo, Poland
- Year and Date
  2010-09-11
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates for the Stokes sernigroup in half space and perturbed half-space2010
- Author(s)
  T.Kobayashi
- Organizer
  Regularity aspects of PDE
- Place of Presentation
  Bedlewo, Poland
- Year and Date
  2010-09-11
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Weighted Lp-Lq estimates for the Stokes semigroup in some unbounded domains2010
- Author(s)
  T.Kobayashi
- Organizer
  研究集会「偏微分方程式と数理物理学」
- Place of Presentation
  京都大学(招待講演)
- Year and Date
  2010-11-16
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Weighted Lp-Lq estimates for the Stokes semigroup in some unbounded domains2010
- Author(s)
  T.Kobayashi
- Organizer
  Weighted Lp-Lq estimates for the Stokes semigroup in some unbounded domains
- Place of Presentation
  芝蘭会館別館, 京都
- Year and Date
  2010-11-16
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Stokes半群の重み付き評価について2010
- Author(s)
  小林孝行
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  九州工業大学
- Year and Date
  2010-11-13
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weighted estimates for the Stokes semigroup in some unbounded domains2010
- Author(s)
  小林孝行
- Organizer
  佐賀大学における微分方程式セミナー
- Place of Presentation
  佐賀大学
- Year and Date
  2010-08-24
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Weak solutions to some equations of the compressible viscous flow2009
- Author(s)
  T. Kobayashi
- Organizer
  Linear and Nonlinear Waves
- Place of Presentation
  滋賀県立県民交流センター
- Year and Date
  2009-11-05
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] 外部領域におけるNavier-Stokes方程式の解の重み付き評価について2009
- Author(s)
  小林孝行
- Organizer
  第57回理論応用力学講演会
- Place of Presentation
  日本学術会議
- Year and Date
  2009-06-11
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Weak solutions to some equations of the compressible viscous flow2009
- Author(s)
  Takayuki KOBAYASHI
- Organizer
  Linear and Nonlinear Waves, No.7
- Place of Presentation
  滋賀県立県民交流センター
- Year and Date
  2009-11-05
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Fluid mechanical approximation to the degenerated drift-diffusion system from compressible Navier-Stokes-Poisson system2008
- Author(s)
  Takayuki KOBAYASHI
- Organizer
  Mathematical Fluid Dynamics
- Place of Presentation
  Darmstadt Germany
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] The local energy decay approach to an incompressible flow in anexterior domain2008
- Author(s)
  T.Kobayashi
- Organizer
  Navier-Stokes equations and related topics, KOSEF-JSPS Joint Research and Seminar Project
- Place of Presentation
  Sungkyunkwan University, Suwon, Korea
- Data Source
  KAKENHI-PROJECT-18340040
[Presentation] Fluid mechanical approximation to the degenerated drift-diffusion system from compressible Navier-Stokes-Poisson system2008
- Author(s)
  T. Kobayashi
- Organizer
  New Aspects and Development of Mathematical Analysis in Nonlinear Phenomena
- Place of Presentation
  九州大学西新プラザ
- Year and Date
  2008-05-29
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Fluid mechanical approximation to the degenerated drift-diffusion system from compressible Navier-Stokes-Poisson system2008
- Author(s)
  Takayuki Kobayashi
- Organizer
  New Aspects and Development of Mathematical Analysis in Nonlinear Phenomena
- Place of Presentation
  九州大学西新プラザ
- Year and Date
  2008-05-29
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Fluid mechanical approximation to the degenerated drift-diffusion system from compressible Navier-Stokes-Poisson system2008
- Author(s)
  Takayuki Kobayashi
- Organizer
  Mathematical Fluid Dynamics
- Place of Presentation
  Darmstadt Germany.
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-19340033
[Presentation] Weighted estimates for the Stokes semigroup in an exterior domain2008
- Author(s)
  Takayuki Kobayashi
- Organizer
  Parabolic and Navier Stokes 2008
- Place of Presentation
  Banach Center, Poland.
- Year and Date
  2008-09-02
- Data Source
  KAKENHI-PROJECT-19340033
[Presentation] Weighted estimates for the Stokes semigroup in an exterior domain2008
- Author(s)
  Takayuki KOBAYASHI
- Organizer
  Parabolic and Navier Stokes 2008
- Place of Presentation
  Banach Center、Poland
- Year and Date
  2008-09-02
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Weighted estimates for the Stokes semig roup in an exterior Domain2008
- Author(s)
  T. Kobayashi
- Organizer
  Parabolic and Navier Stokes
- Place of Presentation
  Banach Center、Poland
- Year and Date
  2008-09-02
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Fluid mechanical approximation to the degenerated drift-diffusion system from compressible Navier-Stokes-Poisson system2008
- Author(s)
  Takayuki Kobayashi
- Organizer
  New Aspects and Development of Mathematical Analysis in Nonlinear Phenomena
- Place of Presentation
  九州大学西新プラザ.
- Year and Date
  2008-05-29
- Data Source
  KAKENHI-PROJECT-19340033
[Presentation] 外部領域におけるStokes半群の重み付きLp-Lq評価について2008
- Author(s)
  小林孝行
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-27
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] 外部領域におけるstokes半群の重み付きLp-Lq 評価について2008
- Author(s)
  小林孝行
- Organizer
  日本数学会総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] 圧縮性Navier-Stokes-Poisson方程式の緩和時間O極限と退化drift-diffusion方程式2008
- Author(s)
  小林孝行
- Organizer
  第57回理論応用力学講演会
- Place of Presentation
  日本学術会議
- Year and Date
  2008-06-10
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] Fluid mechanical approximation to the degenerated drift-diffusion system from compressible Navier-Stokes- Poisson system2008
- Author(s)
  T. Kobayashi
- Organizer
  Mathematical Fluid Dynamics
- Place of Presentation
  Darmstadt Germany
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Fluid Mechanical Approximation to the Degenerated Drift-DiffusionSystem from Barotoropic Compressible Naveier-Stokes-Poisson system2007
- Author(s)
  T. Kobayashi
- Organizer
  Analysis Seminar
- Place of Presentation
  中国北京応用物理計算数学研究所
- Year and Date
  2007-11-23
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Existence of stationary solutions to drift-diffusion model for a semiconductor2007
- Author(s)
  川島秀一, 黒木場正城, 小林遼
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-18340040
[Presentation] 圧縮性Navier-Stokes-Poisson方程式の緩和時間0極限と退化drift-diffusion方程式2007
- Author(s)
  小林孝行
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] 圧縮性Navier-Stokes-Poisson方程式の緩和時間 0 極限と退化 drift-diffusion 方程式2007
- Author(s)
  小林孝行
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Year and Date
  2007-09-23
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Fluid mechanial approximation to the degenerated drift-diffusion system from compressible Navier-Stokes-Poisson system2007
- Author(s)
  T.Kobayashi
- Organizer
  Partial Differential Equations Seminar
- Place of Presentation
  Sungkyunkwan University, Suwon, Korea
- Year and Date
  2007-08-10
- Data Source
  KAKENHI-PROJECT-18340040
[Presentation] Fluid Mechanical Approximation to the Degenerated Dxift-DiffusionSystem from Barotoropic Compressible Naveier-Stokes-Poisson system2007
- Author(s)
  T.Kobayashi
- Organizer
  Analysis Seminar
- Place of Presentation
  中国北京応用物理計算数学研究所
- Year and Date
  2007-11-23
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Weak solution to the equations for the Magneto-Hydrodynamics2007
- Author(s)
  T. Kobayashi
- Organizer
  NIMS International Workshop on Fluid Dynamics
- Place of Presentation
  NIMS, Daejeon, Korea
- Year and Date
  2007-06-11
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Weak solution to the equations for the Magneto-Hydrodynamics2007
- Author(s)
  T.Kobayashi
- Organizer
  NIMS International Workshop on Fluid Dynamics
- Place of Presentation
  NIMS, Daejeon, Korea.
- Year and Date
  2007-06-11
- Data Source
  KAKENHI-PROJECT-19540191
[Presentation] Fluid mechanical approximation to the degenerated drift-diffusion system from barotoropic compressible Naveier-Stokes-Poisson system2007
- Author(s)
  T.Kobayashi
- Organizer
  Analysis Seminar
- Place of Presentation
  Institute of Appl.Phys.Coinp.Math.Beijing, China
- Year and Date
  2007-11-23
- Data Source
  KAKENHI-PROJECT-18340040
[Presentation] Drift-diffusion型モデルの解の減衰評価と漸近挙動について2007
- Author(s)
  川島秀一, 小林遼
- Organizer
  日本数学会年会
- Place of Presentation
  埼玉大学
- Data Source
  KAKENHI-PROJECT-18340040
[Presentation] Decay property for the 2D Hyperbolic Navier-Stokes equations and its applications
- Author(s)
  小林孝行
- Organizer
  研究集会「微分方程式の総合的研究」
- Place of Presentation
  京都大学
- Year and Date
  2014-12-20 – 2014-12-21
- Invited
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] Decay estimates of solutions to the 2D Hyperbolic Navier-Stokes equations and its applications.
- Author(s)
  T. Kobayashi
- Organizer
  2014 ICM-Satellite-Cau “Mathematical Theorey of Gases and Fluids and Related Applications”
- Place of Presentation
  Chung-Ang University, Seoul, Korea
- Year and Date
  2014-08-10 – 2014-08-12
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Decay estimates of solutions to the 2D dissipative wave equations and Hyperbolic Navier-Stokes equations
- Author(s)
  T.Kobayashi
- Organizer
  International Conference on Recent Advances in Hyperbolic Partial Differential Equations
- Place of Presentation
  広島国際会議場
- Year and Date
  2014-12-04 – 2014-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] 双曲型Navieer-Stokes 方程式の解のL2有界性について
- Author(s)
  T. Kobayashi
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  小倉リーセントホテル
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Decay estimates of solutions to the 2D heat equations and its applications
- Author(s)
  小林孝行
- Organizer
  神戸大解析セミナー
- Place of Presentation
  神戸大学理学部（兵庫県神戸市灘区）)
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] ２次元波動方程式の解の有界性と圧縮性流体への応用
- Author(s)
  小林孝行
- Organizer
  北九州地区における偏微分方程式研究集会
- Place of Presentation
  KMMビル（福岡県北九州市小倉北区）
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2 boundedness of solutions for the 2D semilinear dissipative wave equations
- Author(s)
  T. Kobayashi
- Organizer
  RIMS研究集会「調和解析と非線形偏微分方程式」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Decay estimates of solutions to the 2D dissipative wave equations and Hyperbolic Navier-Stokes equations
- Author(s)
  T. Kobayashi
- Organizer
  研究集会「International Conference on Recent Advances in Hyperbolic Partial Differential Equations」
- Place of Presentation
  広島国際会議場(広島県広島市)
- Year and Date
  2014-12-04 – 2014-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Decay estimates of solutions to the 2D Hyperbolic Navier-Stokes equations and its applications
- Author(s)
  T. Kobayashi
- Organizer
  2014 ICM-Satellite-Cau:
- Place of Presentation
  Chung-Ang University, Seoul, Korea
- Year and Date
  2014-08-10 – 2014-08-12
- Invited
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] L2 boundedness of the solutions to the 2D Navier-Stokes equations and Hyperbolic Navier-Stokes equations
- Author(s)
  T. Kobayashi
- Organizer
  RIMS研究集会「非圧縮性粘性流体の数理解析」
- Place of Presentation
  京都大学数理解析研究所(京都府左京区)
- Year and Date
  2014-11-17 – 2014-11-19
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Decay estimates of solutions to the 2D exterior problems for the semilinear heat and dissipative wave equations
- Author(s)
  T. Kobayashi
- Organizer
  「International Workshop on Stationary Problems in Nonlinear Partial Differential Equations」
- Place of Presentation
  Saga University
- Invited
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Decay estimates of the solutions to the 2D Hyperbolic Navier-Stokes equations.
- Author(s)
  T. Kobayashi
- Organizer
  Wayamba International Conference 2014
- Place of Presentation
  Wayamba University of Sri Lanka, Kuliyapitiya, Sri Lanka
- Year and Date
  2014-08-29 – 2014-08-30
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2 boundedness of the solutions to the 2D Navier-Stokes equations and Hyperbolic Navier-Stokes equations
- Author(s)
  T.Kobayashi
- Organizer
  RIMS研究集会「非圧縮性粘性流体の数理解析」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-11-17 – 2014-11-19
- Invited
- Data Source
  KAKENHI-PROJECT-24340028
[Presentation] L2 boundedness for the solutions to the 2D damped or strong damped wave equations
- Author(s)
  小林孝行
- Organizer
  三大学偏微分方程式セミナー
- Place of Presentation
  中央大学後楽園キャンパス（東京都文京区）
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] L2 boundedness for the solutions to the 2D Navies-Stokes equations
- Author(s)
  T. Kobayashi
- Organizer
  Parabolic and Navier-Stokes Equations 2012
- Place of Presentation
  Banach center, Bedlewo, Poland.
- Invited
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] L2 boundedness of solutions to the 2D exterior problems for the semilinear heat equations and its applications
- Author(s)
  T. Kobayashi
- Organizer
  国際研究集会「量子凝集と爆発数理物理学的視点」
- Place of Presentation
  大阪大学基礎工学部シグマホール
- Invited
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Decay estimates of solutions to the 2D Wave equations with damping or strong damping terms
- Author(s)
  T. Kobayashi
- Organizer
  応用解析研究会
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540202
[Presentation] Decay property for the 2D Hyperbolic Navier-Stokes equations and its applications
- Author(s)
  小林孝行
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  京都大学理学部(京都府左京区)
- Year and Date
  2014-12-20 – 2014-12-21
- Invited
- Data Source
  KAKENHI-PROJECT-25400175
[Presentation] Decay estimates of solutions to the 2D dissipative wave equations
- Author(s)
  小林孝行
- Organizer
  金沢解析セミナー
- Place of Presentation
  金沢大学コロキウム3（石川県金沢市）
- Invited
- Data Source
  KAKENHI-PROJECT-25400175

1. KAGEI Yoshiyuke (80243913)

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KOBAYASHI Takayuki 小林 孝行

小林 孝行 コバヤシ タカユキ

Research Projects

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Co-Researchers

Mathematical analysis of diffusion and diffusion wave property for the solutions to the system of the viscous fluid flowPrincipal InvestigatorOngoing

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Well-posedness and stability of incompressible and compressible flows with phase transitionOngoing

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Diffusion wave property of the solutions to the system of the viscous fluid flowPrincipal Investigator

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Structure of the solutions to the system ofcompressible fluidPrincipal Investigator

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Asymptotic structure of the solutions to the system of compressible fluidPrincipal Investigator

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On a stability of the solutions to the equations of the Compressible flowPrincipal Investigator

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KOBAYASHI Takayuki 小林孝行

小林孝行コバヤシタカユキ