NAGAI Toshitaka 永井敏隆

Researcher Number	40112172
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2015 – 2018: 福岡大学, 理学部, 非常勤講師 2014: 福岡大学, 理学部, その他 2014: 広島大学, 大学院理学研究科, 名誉教授 2012 – 2013: 福岡大学, 理学部, 非常勤講師 2011: 広島大学, 理学(系)研究科(研究院), 教授 … More 2007 – 2011: Hiroshima University, Graduate School of Science, Professor 2006: 広島大学, 大学院理学研究科, 教授 2000 – 2003: Hiroshima Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授 1999: Faculty of Science, Hiroshima University, Professor, 理学部, 教授 1994 – 1998: 九州工業大学, 工学部, 教授 1989 – 1993: 九州工業大学, 工学部, 助教授 Less
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic analysis Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Global analysis / Geometry / Mathematical Sciences in Search of New Cooperation / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Algebra / 代数学・幾何学
Keywords	Principal Investigator 解の爆発 / 非線形偏微分方程式 / 時間大域解 / 移流拡散方程式 / 定常解 / Stationary solutions / Blowup solutions / Global solutions in time / 自己相似解 / 解の特異性 … More / 解の大域的存在 / 解の時間大域的存在 / 漸近挙動 / Asymptotic profiles of solutions / Convection-diffusion equations / 解の減衰 / 解の漸近形 / 非線形移流拡散方程式 / Self-similar solutions / Advection-diffusion equations / Nonlinear partial differential equations / 放物型方程式系 / Singularity of solutions / Blow-up of solutions / Global existence of solutions / Advection-diffusion system / 関数の対称化 / 解の挙動 / 移流拡散方程式系 / 非綿形偏微分方程式 / 前進自己相似解 / 減衰評価 / Keller-Segel方程式 / 走化性方程式 / 非線形編微分方程式 / 時間大域的解 / 安定性 / 力学系 … More Except Principal Investigator 自己相似解 / locations of blow up points / Keller-Segel system / 固有値問題 / 楕円型方程式 / Keller-Segel方程式系 / Geometry of Banach spaces / interpolation / global blanch / 爆発点の位置 / 大域分枝 / matrix operator / normal structure / Banach space / Clarkson-type inequality / Sobolev functions / elliptic equations / Self-similar solution / 関数空間 / 双曲型方程式 / 大域解 / 爆発 / Keller-Segel方程式 / 非線形熱方程式 / 移流拡散方程式 / 非局所放物型方程式 / Littlewood matrix / von Neumann-Jordan constant / 保存則 / 微分方程式 / 細胞運動 / 細胞性粘菌 / 白血球遊走 / 走化性方程式 / Fokker-Planck方程式 / CFD解析 / PIV実験 / Navier-Stokes方程式 / Keller-Segel系 / Langevin方程式 / 流体型移流拡散方程式 / 拡散性 / 走化性 / Historical search / Elementary method / 1-parameter family / Cusp / Chart description / Braid / Knot / Topologv / 安定化 / 結び目解け予想 / 2次元滑らか結び目 / 初等的 / カンドル / 変形 / 初等的手法 / 解け予想 / チャート表示の変形 / マルコフ型定理 / 2次元ブレイド / 2次元結び目 / 歴史的探究 / 初等的方法 / 1助変数族 / カスプ / チャート表示 / ブレイド / 結び目 / トポロジー / radially symmetrical solution / Lieuville type theorem / self-similar solution / Chirdress-Percus conjecture / 球対称性 / Liouville型定理 / 解の爆発 / 楕円形方程式 / 半群理論 / 大腸菌コロニー / Harnack型不等式 / 大域分岐 / 粘菌形成方程式系 / 球対称解 / Lieuville型の定理 / 楕円型方程式解 / Childress-Percusの予想 / oscllation problem / elliptic equation / chemotactic collapse / 振動解 / 楕円方程式 / 走化性解の崩壊 / Rademacher type, cotype / Von Neumann-Jordan constant / Lebesgue-Bochner space / Rademacher type,cotype / hyperbolic equations / two parameter problems / global solutions / 関数空関 / 爆発点 / interfacial dynamics / Numerical analysis of singularities / Pattern formation / Free boundary problem / Mathematics of blow up phenomenon / Mean curvature equations / Singular perturbation methods / Singular limit methods / 動画化システム / 特異極限解析 / 非平衡系に現われる時空間パターン / 非線形非平衡現象の理論的解明 / 境界追跡法 / 伝染病モデル / 界面方程式 / 無次元力学系 / パターン解析 / ウェーブレット / 安定性理論 / 生体系モデル / 数値分岐理論 / 曲率方程式 / パターン形式 / 界面ダイナミクス / 特異現象の数値解析 / パターン形成 / 自由境界問題 / 爆発現象の数理 / 平均曲率方程式 / 特異摂動法 / 特異極限法 / 圧縮性Euler-Poisson / 適切性 / Charn-Simons-Dirac / 退化放物 / 臨界型Sobolev不等式 / 双極型移流拡散方程式 / 単極型移流拡散方程式 / 非臨界指数 / 渦度Navier-Stokes方程式 / 退化放物型 / 臨界指数 / 斉次Besov空間 / 線型熱方程式 / 最良定数 / ハーディー・リトルウッドの不等式 / 最大正則性原理 / 退化移流拡散方程式 / 非圧縮性粘性流体 / 重み付き空間 / Fisherの不等式 / 解の有限時刻爆発 / 消散評価 / 変数係数放物型方程式 / 臨界最大正則性 / 移流拡散方程式系 / 閾値 / 不等式の最良定数 / 有限時刻爆発 / 時間大域解 / 非線形偏微分方程式論 / 非局所的相互作用 / 質量輸送問題 / 石油回収問題 / ADモデル / 数値解法 / 数値計算 / 縮約系 / 反応拡散方程式 / 定常問題 / 異種項混合 / 拡散移流方程式 / 数値解析 / 偏微分方程式 / 非線形波動方程式 / 関数方程式論 / 完全可積分系 / 非線形偏微分方程式 / 半導体素子設計 / 非局所方程式 / 臨界空間 / 走化性粘菌モデル / 半導体シュミレーション / 臨界密度 / 幾何学的函数論 / 単葉性判定法 / 双曲計量 / 擬等角写像 / レヴナー方程式 / 単葉函数 / シュワルツ・ピツクの補題 / シュワルツ微分 / Loewner方程式 / SLE / 写像類群 / 米国:フランス:ドイツ / 国際研究者交流 / 国際研究者交流(米国、フランス、ドイツ他) / アルゴリズム / 圏論的数論幾何 / モジュライ空間 / 数論的基本群 / 数論幾何学 / ザイフェルト曲面 / 擬フックス群 / virtual fiber / Montesinos knot / 垣水複体 / 強可逆結び目 / 穴あきトーラス束 / Cannon-Thurston-Dicks分解 / Canonical decomposition / Cannon-Thurston写像 / へガード分解 / small cancellation theory / 2橋結び目 / 標準的分割 / Cannon-Thurston map / 曲面束 / 穴あきトーラス / 双曲構造 / 幾何構造 / ヘガード分解 / 3次元多様体 / Rademacher matrix / type,cotype / random Clarkson inequality / Clarkson's inequality / 解の挙動 / 無限次元力学系 / クラークソン不等式 / 線形作用素 / ポアソン代数 / 微分代数 / 補間空間 / von Neumann-Jordan定数 / バナッハ空間のタイプ,コタイプ / Grothendieckの不等式 / Clarkson型不等式 / バナッハ空間の幾何学 / バナッハ空間の作用素 / ラグランジュカ学系 / 不動点定理 / 非拡大作用素 / バナック空間のタイプ,コタイプ / 一様凸空間 / クラークソンの不等式 / 経済生長モデル / オイラ-・ラグランジュ方程式 / 非保存力学系 / 力学的対称性 / バナッハ空間 / ヒルベルト空間 / 再生核 / 正定値写像 / ヒルベルトmodule / C^*-代数 Less

Mathematical modelling of diffusion-drift system of double chemotaxis type coupled with fluid
- Principal Investigator
  
  Sugiyama Yoshie
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Osaka University
  Kyushu University
Correlation research for non-local interaction system and the mass transport conservation law
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Study on a chemotaxis equation in the two-dimensional whole spacePrincipal Investigator
- Principal Investigator
  
  NAGAI Toshitaka
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hiroshima University
偏微分方程式に対する異種項混合の数値計算法の開発
- Principal Investigator
  
  中木達幸
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
- Principal Investigator
  
  MATSUMOTO Makoto
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Loewner方程式の幾何学的函数論および確率過程への応用
- Principal Investigator
  
  須川敏幸
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Hiroshima University
非局所相互作用系と完全可積分構造の関連の探索
- Principal Investigator
  
  OGAWA Takayoshi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Tohoku University
Heegaard structures and geometric structures of 3-manifolds
- Principal Investigator
  
  SAKUMA Makoto (MAKOTO Sakuma)
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
  Osaka University
Smooth unknotting conjecture in dimension four and search for essence of mathematics
- Principal Investigator
  
  MATUMOTO Takao
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
Asymptotic Profiles of Solutions to Nonlinear Convection-Diffusion EquationsPrincipal Investigator
- 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
Structure of solutions to the system of equations describing chemotactic aggregation of cellular slime molds
- Principal Investigator
  
  YOSHIDA Kiyoshi
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HIROSHIMA UNIVERSIlY
Analysis on Singularities of Solutions to Nonlinear Partial Differential EquationsPrincipal Investigator
- 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
Structure of solutions to Keller-Segel system
- Principal Investigator
  
  YOSHIDA Kiyoshi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  HIROSHIMA UNIVERSITY
Structure of solutions to the differential equations arising in natural phenomina
- Principal Investigator
  
  YOSHIDA Kiyoshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  HIROSHIMA UNIVERSITY
OPERATOR THEORETICAL RESEARCH ON GEOMETRY OF BANACH SPACES AND APPLICATIONS
- Principal Investigator
  
  KATO Mikio
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  KYUSHU INSTITUTE OF TECHNOLOGY
Qualitative Study of Advection-Diffusion SystemsPrincipal Investigator
- Principal Investigator
  
  NAGAI Toshitaka
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  KYUSHU INSTITUTE OF TECHNOLOGY
非線形移流拡散方程式系に対する爆発問題の研究Principal Investigator
- Principal Investigator
  
  永井敏隆
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu Institute of Technology
Mathematical Studies of singularities governed by nonlinear phenomena
- Principal Investigator
  
  MIURA Masayasu
- Project Period (FY)
  1996 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Hiroshima University
  The University of Tokyo
バナッハ空間の幾何学とそれに関連した不等式の作用素論的研究
- Principal Investigator
  
  加藤幹雄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu Institute of Technology
自由度無限の系に関する数理解析
- Principal Investigator
  
  三村文武
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyushu Institute of Technology
バナッハ空間の作用素とその応用
- Principal Investigator
  
  加藤幹雄
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu Institute of Technology
バナツハ空間の幾何学の研究
- Principal Investigator
  
  宮崎虔一
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu Institute of Technology
力学系に現れる偏微分程式の数理解析
- Principal Investigator
  
  三村文武
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kyushu Institute of Technology
非線形偏微分方程式と力学系Principal Investigator
- Principal Investigator
  
  永井敏隆
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu Institute of Technology
自由度無限の系に関する数理解析的研究
- Principal Investigator
  
  伊藤茂
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyushu Institute of Technology

All 2015 2013 2011 2010 2009 2007

All Journal Article Presentation

[Journal Article] Global existence of solutions to a parabolic-elliptic system of drift-diffusion type in $R^2$2015
- Author(s)
  T. Nagai, T. Ogawa
- Journal Title
  
  Funkcial. Ekvac
  
  Volume: -
- NAID
  130005145540
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654059
[Journal Article] The basin of attraction of the steady-states for a chemotaxis model in R^2 with critical mass2013
- Author(s)
  Lopez-Gomez Julian, Nagai Toshitaka, Yamada Tetsuya
- Journal Title
  
  Arch. Ration. Mech. Anal
  
  Volume: 207 Pages: 159-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654059
[Journal Article] Brezis-Merle inequalities and applicati on to the global existence of the Cauch y problem of the Keller-Segel system2011
- Author(s)
  Toshitaka Nagai and Takayoshi Ogawa
- Journal Title
  
  Commun. Contemp. Math
  
  Volume: 13 Pages: 795-812
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540182
[Journal Article] Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in R^22011
- Author(s)
  Toshitaka Nagai
- Journal Title
  
  Differential Integral Eqautions
  
  Volume: 24 Pages: 29-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540182
[Journal Article] Convergence to self similarsolutions for a parabolic-ellip tic system of drift-diffusion type in R^2, Adv2011
- Author(s)
  Toshitaka Nagai
- Journal Title
  
  Differential Equations
  
  Volume: 16 Pages: 839-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540182
[Journal Article] Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in R^22011
- Author(s)
  T.Nagai
- Journal Title
  
  Adv.Differential Equations
  
  Volume: 16 Pages: 839-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654018
[Journal Article] Global existence and decay estimates of solutions to a parab olic-elliptic system of drift-diffusion type in R^22011
- Author(s)
  Toshitaka Nagai
- Journal Title
  
  Differential Integral Equati ons
  
  Volume: 24 Pages: 29-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540182
[Journal Article] Brezis-Merle inequalities and application to the global existence of the Keller-Segel equations2011
- Author(s)
  T. Nagai, T. Ogawa,
- Journal Title
  
  Comm. Contemporary Math.
  
  Volume: 13 Issue: 05 Pages: 1-18
- DOI
  10.1142/s0219199711004440
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244009, KAKENHI-PROJECT-21540182, KAKENHI-PROJECT-21654018, KAKENHI-PROJECT-22244009, KAKENHI-PROJECT-23654059
[Journal Article] Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in $\mathbb{R}^2$2011
- Author(s)
  T. Nagai
- Journal Title
  
  Differential Integral Equations
  
  Volume: 24 Pages: 29-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654059
[Journal Article] Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in $\mathbb{R}^2$2011
- Author(s)
  T. Nagai
- Journal Title
  
  Adv. Differential Equations
  
  Volume: 16 Pages: 839-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654059
[Journal Article] Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type in $R^2$2011
- Author(s)
  T.Nagai
- Journal Title
  
  Differential Integral Equations
  
  Volume: 24 Pages: 29-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654018
[Journal Article] Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in R^22011
- Author(s)
  Toshitaka Nagai
- Journal Title
  
  Adv.Differential Equations
  
  Volume: 16 Pages: 839-866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540182
[Journal Article] Global solvability for a chemotaxis system in R^22009
- Author(s)
  Toshitaka Nagai
- Journal Title
  
  RIMS Kokyuroku Bessatsu B15
  
  Pages: 101-111
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540182
[Journal Article] Global Solvability for a chemotaxis system in R^22009
- Author(s)
  Toshitaka Nagai
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B15 Pages: 101-111
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540182
[Journal Article] Global solvability for a chemotaxis system in R^22009
- Author(s)
  T.Nagai
- Journal Title
  
  RIMS Kokyuroku Bessatsu B15
  
  Pages: 101-111
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654018
[Journal Article] Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space.2007
- Author(s)
  Nagai, Toshitaka
- Journal Title
  
  J. Math. Anal. Appl. 336・1
  
  Pages: 704-726
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204002
[Journal Article] Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space2007
- Author(s)
  T. Nagai and T. Yamada,
- Journal Title
  
  J. Math Anal. Appl, 336
  
  Pages: 704-726
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654028
[Presentation] Dynamics of solutions to a chemotaxis model in R^2 with critical mass2011
- Author(s)
  永井敏隆
- Organizer
  北九州における偏微分方程式研究集会
- Place of Presentation
  北九州市
- Year and Date
  2011-11-26
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two space dimensions for the critical mass case2011
- Author(s)
  Toshitaka Nagai
- Organizer
  Workshop on Nonlinear Partial Differential Equations
- Place of Presentation
  Madrid, Spain
- Year and Date
  2011-05-09
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in R^2 for the subcritical case2011
- Author(s)
  永井敏隆
- Organizer
  流体と気体の数学解析
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-07-08
- Data Source
  KAKENHI-PROJECT-21654018
[Presentation] Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in R^22011
- Author(s)
  Toshitaka Nagai
- Organizer
  Sino-Chilean Conference on Nonlinear Partial Differential Equations and Nonlinear Analysis
- Place of Presentation
  Wuhan China
- Year and Date
  2011-12-08
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type with critical massin R^22011
- Author(s)
  Toshitaka Nagai
- Organizer
  International Workshop on Modeling and Analysisof PDE Systems of Biological Processes
- Place of Presentation
  Beijing, China(招待講演)
- Year and Date
  2011-10-18
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type with subcritical mass in R^22011
- Author(s)
  T.Nagai
- Organizer
  Nonlinear Models in Partial Differential Equations
- Place of Presentation
  Toledo, Spain(招待講演)
- Year and Date
  2011-06-14
- Data Source
  KAKENHI-PROJECT-21654018
[Presentation] A parabolic-elliptic system of drift-diffusion type with subcititical mass in R^22011
- Author(s)
  Toshitaka Nagai
- Organizer
  Nonlinear Models in Partial Differential Equations
- Place of Presentation
  Toledo, Spain(招待講演)
- Year and Date
  2011-07-14
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in R^2 for the subcritical case2011
- Author(s)
  永井敏隆
- Organizer
  流体と気体の数学解析
- Place of Presentation
  京都市
- Year and Date
  2011-07-08
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two space dimensions for the critical mass case2011
- Author(s)
  T.Nagai
- Organizer
  Workshop on Nonlinear Partial Differential Equations
- Place of Presentation
  Universidad Complutense de Madrid, Madrid, Spain
- Year and Date
  2011-05-09
- Data Source
  KAKENHI-PROJECT-21654018
[Presentation] 関数の再配列の走化性方程式への応用2011
- Author(s)
  永井敏隆
- Organizer
  2011年度日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  松本市
- Year and Date
  2011-10-01
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two space dimensions for the critical mass case2011
- Author(s)
  Toshitaka Nagai
- Organizer
  Workshop on Nonlinear Partial Differential Equations
- Place of Presentation
  Madrid Spain
- Year and Date
  2011-09-09
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type with critical mass in R^22011
- Author(s)
  Toshitaka Nagai
- Organizer
  International Workshop on Modeling and Analysis of PDE Systems of Biological Processes
- Place of Presentation
  Beijing China
- Year and Date
  2011-10-18
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system ofdrift-diffusion type in R^2 for the subcritical case2011
- Author(s)
  永井敏隆
- Organizer
  流体と気体の数学解析
- Place of Presentation
  京都市
- Year and Date
  2011-07-08
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type with subcritical mass in R^22011
- Author(s)
  Toshitaka Nagai
- Organizer
  Nonlinear Models in Partial Differential Equations
- Place of Presentation
  Toledo Spain
- Year and Date
  2011-07-14
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two dimensions with subcritical initial data2010
- Author(s)
  永井敏隆
- Organizer
  新潟偏微分方程式研究会
- Place of Presentation
  新潟市
- Year and Date
  2010-10-10
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two dimensions with subcritical initial data, The 8^<th> AIMS Conference on DynamicalSystems2010
- Author(s)
  Toshitaka Nagai
- Organizer
  Differential Equations and Applications
- Place of Presentation
  Dresden Germany
- Year and Date
  2010-05-26
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] 走化性方程式の臨界現象2010
- Author(s)
  永井敏隆
- Organizer
  2010年度日本数学会年会
- Place of Presentation
  横浜市
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21654018
[Presentation] Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in R^22010
- Author(s)
  Toshitaka Nagai
- Organizer
  Sino-Chilean Conference on Nonlinear Partial Differential Equations and Nonlinear Analysis
- Place of Presentation
  Wuhan University, Wuhan, China
- Year and Date
  2010-12-08
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two dimensions with sixbcritical initial data2010
- Author(s)
  永井敏隆
- Organizer
  新潟偏微分方程式研究集会
- Place of Presentation
  新潟大学駅南キャンパス「ときめいと」,新潟市(招待講演)
- Year and Date
  2010-10-10
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in R^22010
- Author(s)
  永井敏隆
- Organizer
  北九州における偏微分方程式研究集会
- Place of Presentation
  北九州市
- Year and Date
  2010-11-13
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two dimensions with subcritical initial data2010
- Author(s)
  Toshitaka Nagai
- Organizer
  The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Dresden University of Technology, Dresden, Germany
- Year and Date
  2010-05-26
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] Convergence to self-similar solutions for a parabolic-elliptic system of drift-diffusion type in two dimensions2010
- Author(s)
  永井敏隆
- Organizer
  第8回偏微分方程式ワークショップ
- Place of Presentation
  長崎県壱岐市
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] 走化性方程式の臨界現象2010
- Author(s)
  永井敏隆
- Organizer
  2010年度日本数学会年会
- Place of Presentation
  横浜市
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] A parabolic-elliptic system of drift-diffusion type in two dimensions with subcritical initial data2010
- Author(s)
  T.Nagai
- Organizer
  The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Dresden University of Technology, Germany
- Year and Date
  2010-05-26
- Data Source
  KAKENHI-PROJECT-21654018
[Presentation] 非局所項を持つ2次元非線形放物型方程式の時間大域解の存在及び減衰評価2009
- Author(s)
  永井敏隆
- Organizer
  応用解析研究会
- Place of Presentation
  東京都
- Year and Date
  2009-11-21
- Data Source
  KAKENHI-PROJECT-21654018
[Presentation] Global existence and decay estimates of solutions to a parabolic-elliptic system of drift-diffusion type2009
- Author(s)
  永井敏隆
- Organizer
  北九州における偏微分方程式研究集会
- Place of Presentation
  北九州市
- Year and Date
  2009-11-28
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] Global existence and decay estimates of solutions to aparabolic-elliptic system of drift-diffusion type2009
- Author(s)
  永井敏隆
- Organizer
  北九州における偏微分方程式研究集会
- Place of Presentation
  北九州市
- Year and Date
  2009-11-28
- Data Source
  KAKENHI-PROJECT-21654018
[Presentation] 非局所項を持つ2次元非線形放物型方程式の時間大域解の存在及び減衰評価2009
- Author(s)
  永井敏隆
- Organizer
  応用解析研究会
- Place of Presentation
  東京都
- Year and Date
  2009-11-21
- Data Source
  KAKENHI-PROJECT-21540182
[Presentation] 走化性方程式の数学解析2009
- Author(s)
  永井敏隆
- Organizer
  九州非線形偏微分方程式冬の学校
- Place of Presentation
  福岡市
- Data Source
  KAKENHI-PROJECT-21540182

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NAGAI Toshitaka 永井 敏隆

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Study on a chemotaxis equation in the two-dimensional whole spacePrincipal Investigator

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Asymptotic Profiles of Solutions to Nonlinear Convection-Diffusion EquationsPrincipal Investigator

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Analysis on Singularities of Solutions to Nonlinear Partial Differential EquationsPrincipal Investigator

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NAGAI Toshitaka 永井敏隆