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Mizumachi Tetsu  水町 徹

… Alternative Names

MIZUMACHI Tetsu  水町 徹

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Researcher Number 60315827
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-5041-7291
Affiliation (Current) 2025: 広島大学, 先進理工系科学研究科(理), 教授
Affiliation (based on the past Project Information) *help 2019 – 2025: 広島大学, 先進理工系科学研究科(理), 教授
2016 – 2019: 広島大学, 理学研究科, 教授
2015: 広島大学, 理学(系)研究科(研究院), 教授
2012 – 2014: 九州大学, 数理(科)学研究科(研究院), 准教授
2007 – 2012: Kyushu University, Faculty of Mathematics, Associate Professor … More
2007: 九大, 数理(科)学研究科(研究院), 助教授
2006: 九州大学, 大学院数理学研究科院, 助教授
2005 – 2006: 九州大学, 大学院数理学研究院, 助教授
2004 – 2005: 九州大学, 大学院・数理学研究院, 助教授
2001 – 2003: 横浜市立大学, 総合理学研究科, 助教授
1999 – 2003: Faculty of Science, Yokohama City University, Associated Professor, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Mathematical analysis / Basic analysis / Basic Section 12020:Mathematical analysis-related / Global analysis / Basic analysis
Except Principal Investigator
Medium-sized Section 12:Analysis, applied mathematics, and related fields / Global analysis / Mathematical analysis / Basic analysis / Global analysis … More / Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) Less
Keywords
Principal Investigator
KP-II方程式 / 線形安定性 / 平面進行波 / 安定性 / 非線形シュレディンガー方程式 / 安定性解析 / 長波長近似モデル / KP-II / 非線形分散型方程式 / 漸近安定性 … More / 孤立波 / 水面波の線形安定性 / KPII方程式 / 中心安定多様体 / 多重線ソリトン / 線形漸近安定性 / 弾性的な線ソリトン / 位相の時間発展 / 線ソリトン / 線状孤立波 / 2次元浅水波モデル / 多線ソリトン / 平面孤立波解 / 1-線ソリトン解 / 線状孤立波解 / Benney Luke 方程式 / KdV / line soliton / 平面進行波解 / KP-II 方程式 / レゾナンス / 平面孤立波 / 多ソリトン / Fermi-Pasta-Ulamの格子模型 / 一次元非線形シュレディンガー方程式 / L^2安定性 / ソリトンの安定性 / 1次元Benney-Luke / line-soliton / KP方程式 / 特異摂動法 / 定常波解 / 局所平滑評価 / スピンをもつ定常波解 / BBM / NLS / 不安定性 / 極限形 / 高エネルギー定常波解 / 多パルス解 / 相互作用 / 一般化KdV方程式 … More
Except Principal Investigator
圧縮性Navier-Stokes方程式 / 適切性 / 反応拡散方程式 / ダイナミクス / 分岐 / 安定性 / パルス相互作用 / 解の漸近挙動 / 特異摂動 / 初期値問題の適切性 / 修正KdV方程式 / null condition / well-posedness / 初期値問題 / 非線形波動方程式 / 非線形発展方程式 / 分岐・安定性 / 準線形双曲-放物型方程式系 / 圧縮Navier-Stokes方程式 / 準線形双曲放物型方程式系 / 関数方程式論 / 周期パターン / 函数方程式論 / スペクトル / スペクトル解析 / 漸近挙動 / 函数論方程式 / nonlinear heat equation / nonlinear diffusion equations / singular limit / asymptotic method / interface motion / blow-up of solutions / partial differential equation / nonlinear analysis / 進行波 / 熱方程式 / 拡散方程式 / 特異極限 / 漸近的手法 / 界面運動 / 解の爆発 / 偏微分方程式 / 非線形解析 / Traveline front / Interfacial dynamics / Pulse interaction / Reaction diffusion systems / 局在解 / チューリング不安定性 / 4階の方程式 / 平面解 / フロント進行波解 / 界面ダイナミクス / 反応拡散方程式系 / Besov spaces / Fourier restriction norm method / Nonlinear Schrodinger equations / Unconditional uniqueness / Long range interaction / Nonlinear scattering theory / Modified KdV / Well-posedness / 初期層 / 非相対論的極限 / 非線形Dirac方程式 / 初期値に関する一様連続依存性 / 非線形シュレディンガー方程式 / 漸近安定性 / 孤立波解 / Benjamin-Bona-Mahony方程式 / エネルギー空間 / soliton-defect interaction / 安定性と不安定性 / 定在波解 / 漸近自由 / 強い意味での不安定性 / 基底定在波解 / 非線形Klein-Gordon方程式 / 変形Benjamin-Ono方程式 / 解の無条件一意性 / Besov空間 / Fourier制限ノルム法 / 非線形Schrodinger方程式 / 無条件一意性 / 長距離相互作用 / 非線形散乱理論 / 修正KdV / elastic reflection of pulses / self-replication / bifurcation structure / pulse interaction / pulse dynamics / reaction-diffusion systems / 脈動的進行パルス / 特異点 / 粒子的反射運動 / 弱い相互作用 / 中心多様体 / 粒子的反射 / 自己複製 / パルス解 / 分岐点 / 欠陥のダイナミクス / パルスの弾性的反射 / 自己複製パターン / 分岐構造 / パルスダイナミクス / 反応拡散系 / weak solution / initial value problem / modified KdV equation / global existence in time / Maxwell-Higgs equations / Dirac-Proca equations / 解の正則性 / 時間大域解 / 零条件(null condition) / 振動積分 / フーリエ制限空間 / 解の連続依存性 / 周期境界条件 / 弱解 / 修正kdV方程式 / 時間大域存在 / Maxwell-Higgs方程式 / Dirac-Proca方程式 / stochastic differential equations / white noise / Cauchy problem / KdV equations / nonlinear wave equations / ヌルゲージ条件 / ゲージ不変性 / 非線型シュレディンガー方程式 / 概大域的存在 / ヘルマンダー予想 / 非線形クライン-ゴルドン方程式 / 零条件 / クライン-ゴルドン-ザハロフ方程式 / 伝播速度の異なる波の相互作用 / ストリッカーツの評価式 / 確率微分方程式 / KdV方程式 / 確立微分方程式 / ホワイトノイズ / kdv方程式 / ジョセフソン効果 / Gross-Pitaevskii方程 / パターンダイナミクス / Gross-Pitaevskii方程式 / 超伝導モデル / 分岐解析 / 解の安定性 / 遷移ダイナミクス / 渦糸解 / Ginzburg-Landau方程式 / 摂動展開 / パターン形成 / 界面方程式 Less
  • Research Projects

    (18 results)
  • Research Products

    (103 results)
  • Co-Researchers

    (40 People)
  •  Asymptotic analysis of spatio-temporal nonuniform dynamic in conservation laws of quasilinear hyperbolic-parabolic systems

    • Principal Investigator
      隠居 良行
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Institute of Science Tokyo
  •  非線形分散型方程式の線形化作用素に現れるレゾナンスの役割の解明Principal Investigator

    • Principal Investigator
      水町 徹
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hiroshima University
  •  New developments in mathematical analysis of spatio-temporal nonuniform dynamics in quasilinear hyperbolic-parabolic conservation laws

    • Principal Investigator
      隠居 良行
    • Project Period (FY)
      2020 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Tokyo Institute of Technology
  •  Stability analysis for planar traveling solutions for nonlinear dispersive equationsPrincipal Investigator

    • Principal Investigator
      Mizumachi Tetsu
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Hiroshima University
  •  Mathematical Analysis of space-time nonuniform dynamics of equations for viscous compressible fluids

    • Principal Investigator
      KAGEI Yoshiyuki
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Tokyo Institute of Technology
      Kyushu University
  •  Stability analysis of patterns in nonlinear dispersive equationsPrincipal Investigator

    • Principal Investigator
      Mizumachi Tetsu
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Hiroshima University
      Kyushu University
  •  Dynamics of solutions for nonlinear dispersive equationPrincipal Investigator

    • Principal Investigator
      MIZUMACHI Tetsu
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyushu University
  •  Mathematical studies for bifurcation structures and transient dynamics of model equations in the superconductivity and BEC

    • Principal Investigator
      MORITA Yoshihisa
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ryukoku University
  •  非線形分散型偏微分方程式の孤立波の安定性解析Principal Investigator

    • Principal Investigator
      水町 徹
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Interface motion and blow-up phenomena in nonlinear partial differential equations

    • Principal Investigator
      MATANO Hiroshi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      The University of Tokyo
  •  Dynamics of patterns and their interactions for nonlinear evolutional equations

    • Principal Investigator
      EI Shin-ichiro
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyushu University
  •  Structure of Solutions and Geometric Symmetry for Nonlinear Evolution Equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
      Tohoku University
  •  非線形分散型方程式の孤立波の安定性の研究Principal Investigator

    • Principal Investigator
      水町 徹
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
      Yokohama City University
  •  非線形分散型方程式の孤立波の安定性の研究Principal Investigator

    • Principal Investigator
      水町 徹
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Basic analysis
    • Research Institution
      Yokohama City University
  •  Geometric invariant, propagation of singularity and asymptotic behavior for nonlinear wave equations

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Dynamics of localized patterns in nonlinear evolutional systems

    • Principal Investigator
      EI Shin-ishiro
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama City University
  •  非線形発展方程式に現われる界面の運動

    • Principal Investigator
      EI Shin-ishiro
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yokohama City University
  •  Relations between geometric invariant and singularity of solution in nonlinear evolution equations related to nonlinear waves

    • Principal Investigator
      TSUTSUMI Yoshio
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      TOHOKU UNIVERSITY
      The University of Tokyo

All 2023 2022 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] Linear stability of elastic 2-line solitons for the KP-II equation2023

    • Author(s)
      Mizumachi Tetsu
    • Journal Title

      Quarterly of Applied Mathematics

      Volume: 82 Issue: 1 Pages: 115-226

    • DOI

      10.1090/qam/1676

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03328
  • [Journal Article] Stability of Benney--Luke Line Solitary Waves in 2 Dimensions2020

    • Author(s)
      Mizumachi Tetsu、Shimabukuro Yusuke
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 52 Issue: 5 Pages: 4238-4283

    • DOI

      10.1137/19m1253848

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05332, KAKENHI-PROJECT-20H00118, KAKENHI-PROJECT-17H02856
  • [Journal Article] The Phase Shift of Line Solitons for the KP-II Equation2019

    • Author(s)
      Mizumachi Tetsu
    • Journal Title

      Fields Institute Communications

      Volume: 83 Pages: 433-495

    • DOI

      10.1007/978-1-4939-9806-7_10

    • ISBN
      9781493998050, 9781493998067
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05332, KAKENHI-PROJECT-17H02856, KAKENHI-PROJECT-16H03947
  • [Journal Article] Stability of line solitons for the KP-II equation in R^2. II.2018

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A

      Volume: 148 Issue: 1 Pages: 149-198

    • DOI

      10.1017/s0308210517000166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05332, KAKENHI-PROJECT-17H02856
  • [Journal Article] Stability of line solitons for the KP-II equation in R2. II.2018

    • Author(s)
      Mizumachi, T.
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A

      Volume: 148

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Journal Article] Asymptotic linear stability of Benney-Luke line solitary waves in 2D2017

    • Author(s)
      Mizumachi, T. and Shimabukuro, Y.
    • Journal Title

      Nonlinearity

      Volume: 30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Journal Article] Asymptotic linear stability of Benney-Luke line solitary waves in 2D2017

    • Author(s)
      Tetsu Mizumachi and Yusuke Shimabukuro
    • Journal Title

      Nonlinearity

      Volume: 30 Issue: 9 Pages: 3419-3465

    • DOI

      10.1088/1361-6544/aa7cc7

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05332, KAKENHI-PROJECT-17H02856
  • [Journal Article] Stability of line solitons for the KP-II equation in R^22015

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Memoirs of the American Mathematical Society

      Volume: 238 Issue: 1125 Pages: 1-95

    • DOI

      10.1090/memo/1125

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Journal Article] L^2-stability of solitary waves for the KdV equation via Pego and Weinstein's method2014

    • Author(s)
      Tetsu Mizumachi and Nikolay Tzvetkov
    • Journal Title

      RIMS 講究禄別冊

      Volume: B49 Pages: 33-63

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Journal Article] Asymptotic stability of solitary waves in the Benney-Luke model of water waves2013

    • Author(s)
      Tetsu Mizumachi, Jos'e Ra'ul Quintero and Robert L. Pego
    • Journal Title

      Differential and Integral Equations

      Volume: 26巻3-4号 Pages: 253-301

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] Asymptotic stabilityof N-solitons of the FPU lattices2013

    • Author(s)
      T. Mizumachi
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 207巻2号 Issue: 2 Pages: 393-457

    • DOI

      10.1007/s00205-012-0564-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] B\"{a}cklund transformation and $L^2$-stability of NLS solitons2012

    • Author(s)
      T.Mizumachi, D.Pelinovsky
    • Journal Title

      International Mathematics Research Notices

      Volume: 2012(9) Pages: 2034-2067

    • DOI

      10.1093/imrn/rnr073

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] Stability of the line soliton of the KP-II equation under periodic transverse perturbations2012

    • Author(s)
      T. Mizumachi and N.Tzvetkov
    • Journal Title

      Mathematische Annalen

      Volume: 352巻3号 Issue: 3 Pages: 659-690

    • DOI

      10.1007/s00208-011-0654-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] On the asymptotic stability of localized modes in the discrete nonlinear Schroedinger equation2012

    • Author(s)
      T.Mizumachi, D.Pelinovsky
    • Journal Title

      Discrete and Continuous Dynamical Systems, Series S

      Volume: 5(5) Issue: 5 Pages: 971-987

    • DOI

      10.3934/dcdss.2012.5.971

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] N-soliton states of the FPU lattices2011

    • Author(s)
      T.Mizumachi
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 43(5) Issue: 5 Pages: 2170-2210

    • DOI

      10.1137/100792457

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] Description of the inelastic collision of two solitary waves for the BBM equation2010

    • Author(s)
      Y. Martel, F. Merle, T. Mizumachi
    • Journal Title

      Arch. Ration. Mech. Anal. Vol.196

      Pages: 517-574

    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Description of the inelastic collision of two solitary waves for the BBM equation2010

    • Author(s)
      Y.Martel, F.Merle, T.Mizumachi
    • Journal Title

      Archive for Rational Mechanics and Analysis 196

      Pages: 517-574

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Description of the inelastic collision of two solitary waves for the BBM equation2010

    • Author(s)
      Y. Martel, F. Merle and T. Mizumachi
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 196巻2号 Issue: 2 Pages: 517-574

    • DOI

      10.1007/s00205-009-0244-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] Description of the inelastic collision of two solitary waves for the BBM equation2010

    • Author(s)
      Frank Merle, Yvan Martel, Tetsu Mizumachi
    • Journal Title

      Archive for Rational Mechanics and Analysis online first

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] Asymptotic stability of lattice solitons in the energy space2009

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Communications in Mathematical Physics 288(1)

      Pages: 125-144

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] Asymptotic stability of lattice solitons in the energy space2009

    • Author(s)
      T. Mizumachi
    • Journal Title

      Communicaitons in Mathematical Physics

      Volume: 288巻1号 Issue: 1 Pages: 125-144

    • DOI

      10.1007/s00220-009-0768-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Journal Article] Asymptotic stability of lattice solitons in the energy space2009

    • Author(s)
      T. Mizumachi
    • Journal Title

      Comm. Math. Phys. Vol.288

      Pages: 125-144

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Asymptotic stability of lattice solitons in the energy space2009

    • Author(s)
      T. Mizumachi
    • Journal Title

      Comm. Math. Phys. 288

      Pages: 125-144

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] On asymptotic stability in energy space of ground states for nonlinear Schrodinger equations2008

    • Author(s)
      T. Mizumachi, S. Cuccagna
    • Journal Title

      Comm. Math. Phys. Vol.284

      Pages: 51-71

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Existence of periodic traveling wave solutions for the Ostrovsky equation2008

    • Author(s)
      N.Ishimura and T.Mizumachi
    • Journal Title

      Mathematical Methods in the Applied Sciences (to be published)

    • NAID

      120006933445

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Asymptotic stability of small solitons to 1D NLS with potential2008

    • Author(s)
      T. Mizumachi
    • Journal Title

      Journal Math. Kyoto University 48

      Pages: 471-498

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] On asymptotic stability in energy space of ground states for Nonlinear Schrodinger equations2008

    • Author(s)
      T. Mizumachi, S. Cuccagna
    • Journal Title

      Comm. Math. Phys. 284

      Pages: 51-71

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Asymptotic stability of Toda lattice solitons2008

    • Author(s)
      T. Mizumachi, R. L. Pego
    • Journal Title

      Nonlinearity 21

      Pages: 2061-2071

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Asymptotic stability of Toda lattice solutions2008

    • Author(s)
      T. Mizumachi, R.L. Pego
    • Journal Title

      Nonlinearity Vol.21

      Pages: 2061-2071

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Asymptotic stability of small solitons to 1D NLS with potential2008

    • Author(s)
      T. Mizumachi
    • Journal Title

      J. Math. Vol.48

      Pages: 471-498

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Instability of vortex solitons for 2D focusing NLS2007

    • Author(s)
      T. Mizumachi
    • Journal Title

      Adv. Differential Equations Vol.12

      Pages: 241-264

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Instability of vortex solitons for 2D focusing NLS2007

    • Author(s)
      T.Mizumachi
    • Journal Title

      Advances in Differential Equations Vol.12,No3

      Pages: 241-264

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Asymptotic stability of small solitons for 2D Nonlinear Schr\"{o}dinger equations with potential2007

    • Author(s)
      Tetsu, Mizumachi
    • Journal Title

      Journal of Mathematics of Kyoto University 47(3)

      Pages: 599-620

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] Asymptotic stability of small solitons for 2D Nonlinear Schrodinger equation with potential2007

    • Author(s)
      T. Mizumachi
    • Journal Title

      J. Math. Vol.47

      Pages: 599-620

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Instability of vortex solitons for 2D focusing NLS2007

    • Author(s)
      Tetsu, Mizumachi
    • Journal Title

      Advances in Differential Equations 12(3)

      Pages: 241-264

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] Instability of vortex solitions for 2D focusing NLS2007

    • Author(s)
      Mizumachi, T.
    • Journal Title

      Adv. Differential Equations 12

      Pages: 261-264

    • Data Source
      KAKENHI-PROJECT-17340044
  • [Journal Article] Asymptotic stability of small solitons for 2D Nonlinear Schrodinger equations with potential2007

    • Author(s)
      T.Mizumachi
    • Journal Title

      Journal of Mathematics of Kyoto University Vol.47,No.3

      Pages: 599-620

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Journal Article] Instability of vortex solitons for 2D focusing NLS2007

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Advances in Differential Equations 12巻3号

      Pages: 241-264

    • Data Source
      KAKENHI-PROJECT-17740079
  • [Journal Article] A remark on linearly unstable standing wave solutions to NLS2006

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Nonlinear Analysis, T.M.A. 64巻4号

      Pages: 657-676

    • Data Source
      KAKENHI-PROJECT-17740079
  • [Journal Article] Instability of vortex solitons for 2D focusing NLS2006

    • Author(s)
      Mizumachi
    • Journal Title

      Advances in Differential Equations 12(3)

      Pages: 241-264

    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] A remark on linearly unstable standing wave solutions to NLS2006

    • Author(s)
      Mizumachi
    • Journal Title

      Nonlinear Analysis 64

      Pages: 657-676

    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] A remark on linearly unstable standing wave solutions to NLS2006

    • Author(s)
      T.Mizumachi
    • Journal Title

      Nonlinear Analysis. Theory, Methods & Applications 64・4

      Pages: 657-676

    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] A remark on linearly unstable standing wave solutions to NLS2006

    • Author(s)
      Mizumachi, T.
    • Journal Title

      Nonlinear Analysis : Theory, Methods and Applications 64

      Pages: 657-676

    • Data Source
      KAKENHI-PROJECT-17340044
  • [Journal Article] Vortex solitons for 2D focusing nonlinear Schrodinger equation2005

    • Author(s)
      T.Mizumachi
    • Journal Title

      Differential Integral Equations 18・4

      Pages: 431-450

    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Vortex solutions for 2D focusing nonlinear Schrodinger equation2005

    • Author(s)
      T.Mizumachi
    • Journal Title

      Differential Integral Equations 18・4

      Pages: 431-450

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Instability of bound states for 2D nonlinear Schrodinger equations2005

    • Author(s)
      T.Mizumachi
    • Journal Title

      Discrete Contin.Dyn.Sys. 13・2

      Pages: 413-428

    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Vortex solitons for 2D focusing NLS2005

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Differential and Integral Equations 18(4)

      Pages: 431-450

    • Data Source
      KAKENHI-PROJECT-14740106
  • [Journal Article] Vortex solutions for 2D focusing nonlinear Schrodinger equation2005

    • Author(s)
      T.Mizumachi
    • Journal Title

      Differential Integral Equations 18-4

      Pages: 431-450

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Asymptotic stability of solitary wave solutions to the regularized long-wave equation2004

    • Author(s)
      T.Mizumachi
    • Journal Title

      J.Differential Equations 200(2)

      Pages: 312-341

    • Data Source
      KAKENHI-PROJECT-15204008
  • [Journal Article] Asymptotic stability of solitary wave solutions to the regularized long wave equation2004

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Journal of Differential Equations 200

      Pages: 312-341

    • Data Source
      KAKENHI-PROJECT-16540200
  • [Journal Article] Asymptotic stability of solitary wave solutions to the regularized long wave equation2004

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Journal of Differential Equations 200(2)

      Pages: 312-341

    • Data Source
      KAKENHI-PROJECT-14740106
  • [Journal Article] Instability of bound states for 2D NLS

    • Author(s)
      Tetsu Mizumachi
    • Journal Title

      Discrete and Continuous Dynamical Systems (A) (掲載予定)

    • Data Source
      KAKENHI-PROJECT-14740106
  • [Presentation] Linear stability of elastic 2-line solitons for the KP-II equation2023

    • Author(s)
      水町 徹
    • Organizer
      RIMS Workshop on Variational Methods and Dispersive Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20H00118
  • [Presentation] Linear stability of elastic 2-line solitons for the KP-II equation2023

    • Author(s)
      水町 徹
    • Organizer
      Workshop on Nonlinear Water Waves and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03328
  • [Presentation] Linear stability of elastic 2-line solitons for the KP-II equation2023

    • Author(s)
      水町 徹
    • Organizer
      RIMS Workshop on Variational Methods and Dispersive Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03328
  • [Presentation] On linear stability of elastic 2-line solitons for the KP-II equation2023

    • Author(s)
      水町 徹
    • Organizer
      量子流体における数理構造の解明
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20H00118
  • [Presentation] 線ソリトンの線形安定性について2022

    • Author(s)
      水町 徹
    • Organizer
      研究集会「大振幅・非線形海洋波の数理の展望」
    • Data Source
      KAKENHI-PROJECT-21K03328
  • [Presentation] 線ソリトンの線形安定性について2022

    • Author(s)
      水町 徹
    • Organizer
      Saga Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03328
  • [Presentation] 線ソリトンの線形安定性について2022

    • Author(s)
      水町徹
    • Organizer
      Saga Workshop on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-20H00118
  • [Presentation] On linear stability of elastic 2-line solitons for the KP-II equation2022

    • Author(s)
      水町 徹
    • Organizer
      New trends in Mathematics of Dispersive, Integrable and Nonintegrable Models in Fluids, Waves and Quantum Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03328
  • [Presentation] On linear stability of elastic 2-line solitons for the KP-II equation2022

    • Author(s)
      水町 徹
    • Organizer
      New trends in Mathematics of Dispersive, Integrable and Nonintegrable Models in Fluids, Waves and Quantum Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20H00118
  • [Presentation] 線ソリトンの線形安定性について2022

    • Author(s)
      水町徹
    • Organizer
      研究集会「大振幅・非線形海洋波の数理の展望」(オンライン)
    • Data Source
      KAKENHI-PROJECT-20H00118
  • [Presentation] Stability of line solitary waves for some long wave models2019

    • Author(s)
      水町徹
    • Organizer
      2019 Workshop on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering, The Fields Institute, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] Stability of line solitary waves for some long wave models2019

    • Author(s)
      水町 徹
    • Organizer
      2019 Workshop on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05332
  • [Presentation] On stability of line solitary waves for long wave models2019

    • Author(s)
      水町 徹
    • Organizer
      The 36th Kyushu Symposium on Partial Differential Equations,Kyushu University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] On stability of line solitary waves for long wave models2019

    • Author(s)
      水町 徹
    • Organizer
      第36回九州における偏微分方程式研究集会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05332
  • [Presentation] On the phase shift of line solitary waves for the KP-II equation2018

    • Author(s)
      水町 徹
    • Organizer
      Workshop on Nonlinear Water Waves, 京都大学数理解析研究所
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] On the phase shift of line solitary waves for the KP-II equation2018

    • Author(s)
      水町 徹
    • Organizer
      Workshop on Nonlinear Water Waves
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05332
  • [Presentation] Asymptotic Linear Stability of Benney-Luke line solitary waves in 2D2017

    • Author(s)
      T. Mizumachi
    • Organizer
      Tosio Kato Centennial Conference,University of Tokyo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] Asymptotic Linear Stability of Benney-Luke line solitary waves2017

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Tosio Kato Centennial Conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05332
  • [Presentation] Asymptotic Linear Stability of Benney-Luke line solitary waves2017

    • Author(s)
      T. Mizumachi
    • Organizer
      Workshop on Inverse Scattering and Dispersive PDEs in Two Space Dimension, The Fields Institutes
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] Asymptotic Linear Stability of Benney-Luke line solitary waves2017

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Workshop on Inverse Scattering and Dispersive PDEs in Two Space Dimensions
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05332
  • [Presentation] Stability of line solitons for the KP-II equation2016

    • Author(s)
      T. Mizumachi
    • Organizer
      Nonlinear Wave and Dispersive Equations
    • Place of Presentation
      京都大学
    • Year and Date
      2016-09-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] Stability of line solitons for the KP-II equation2016

    • Author(s)
      水町 徹
    • Organizer
      第33回九州における偏微分方程式研究集会
    • Place of Presentation
      九州大学 西新プラザ
    • Year and Date
      2016-01-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation2016

    • Author(s)
      T. Mizumachi
    • Organizer
      Nonlinear Waves 2016: May Conference
    • Place of Presentation
      IHES(フランス)
    • Year and Date
      2016-05-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] Asymptotic linear stability of line solitary waves of the Benney-Luke equation2016

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      CMS Winter Meeting
    • Place of Presentation
      Niagara Fall (カナダ)
    • Year and Date
      2016-12-02
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Asymptotic linear stability of line solitary waves of the Benney-Luke equation2016

    • Author(s)
      T. Mizumachi
    • Organizer
      Canadian Mathematical Society Winter Meeting Session on "Nonlinear Evolution Equations"
    • Place of Presentation
      ナイアガラ,カナダ
    • Year and Date
      2016-12-02
    • Data Source
      KAKENHI-PROJECT-16H03947
  • [Presentation] Stability of line solitons for the KP-II equation2016

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Nonlinear Wave and Dispersive Equations
    • Place of Presentation
      京都大学
    • Year and Date
      2016-09-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation2016

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Nonlinear Waves 2016: May Conference
    • Place of Presentation
      IHES, フランス
    • Year and Date
      2016-05-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation2016

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Singularity formation and long-time behavior in dispersive PDEs
    • Place of Presentation
      Bonn 大学,ドイツ
    • Year and Date
      2016-03-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] On stability of line solitons for the KP-II equation2015

    • Author(s)
      水町 徹
    • Organizer
      RIMS研究集会「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
      2015-07-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation2015

    • Author(s)
      水町 徹
    • Organizer
      第2回 解析学の耳袋
    • Place of Presentation
      プラサ ヴェルデ (沼津)
    • Year and Date
      2015-10-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] On stability of line solitons of the KP-II equation2015

    • Author(s)
      水町 徹
    • Organizer
      Fundamental Problems in Mathematical and Theoretical Physics
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-09-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for KP-II2015

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      S\'{e}minaire G\'{e}om\'{e}trie, EDP et Physique Math\'{e}matique
    • Place of Presentation
      Cergy-Pontoise 大学,フランス
    • Year and Date
      2015-09-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons2015

    • Author(s)
      水町 徹
    • Organizer
      東京大学 FMSP サマースクール『分散型方程式とソリトン』
    • Place of Presentation
      東京大学 大学院数理科学研究科
    • Year and Date
      2015-07-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation in $\mathbb {R}^2$2013

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Nonlinear Waves and Dispersive Equations
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation in $\mathbb {R}^2$2013

    • Author(s)
      Tetsu Mizumachi
    • 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-25400174
  • [Presentation] Stability of line solitons for the KP-II equation in $\mathbb {R}^2$2013

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      NSF/CBMS Regional Conference in Mathematical Sciences
    • Place of Presentation
      サス大学パン・アメリカン,アメリカ
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation in $\mathbb {R}^2$2013

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      SIAM Conference on Analysis of Partial Differential Equations
    • Place of Presentation
      フロリダ,アメリカ
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] Stability of line solitons for the KP-II equation in $\mathbb {R}^2$2013

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Lattice Differential Equations
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] On stability of line solitons of KP-II2012

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Analytical and Numerical Advances Around Schroedinger Equations
    • Place of Presentation
      Institut de Mathematiques de Toulouse
    • Invited
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] On stability of line solitons of KP-II2012

    • Author(s)
      水町 徹
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      京都大学
    • Year and Date
      2012-12-16
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] Asymptotic stability of solitary waves in the Benney-Luke model of water waves2012

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Evolution Equations: A Workshop in Honor of Terence Tao
    • Place of Presentation
      Northwestern University
    • Invited
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] Stability of the Line Soliton of the KP-II Equation in L^2(R_x×T_y)2011

    • Author(s)
      水町徹
    • Organizer
      SIAM Conference on Dynamical Systems
    • Place of Presentation
      アメリカ,Snowbird(招待講演)
    • Year and Date
      2011-05-22
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] Miura transformation and orbital stability of KP-II solitons2011

    • Author(s)
      水町徹
    • Organizer
      IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena
    • Place of Presentation
      アメリカ,ジョージア大学(招待講演)
    • Year and Date
      2011-04-04
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] B\"{a}cklund transformation and $L^2$-stability of NLS Solitons2011

    • Author(s)
      水町徹
    • Organizer
      ICIAM2011
    • Place of Presentation
      カナダ,バンクーバー
    • Year and Date
      2011-07-20
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] BacklundTransformation and L2-stability of NLS Solitons2011

    • Author(s)
      水町 徹
    • Organizer
      International Congress on Industrial and Applied Mathematics(Contributed Minisymposia Dispersive Equations in Mathematical Physics)
    • Place of Presentation
      カナダ
    • Year and Date
      2011-07-20
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] Stability of the Line Soliton of the KP-II Equation in L2(R_x×T_y)2011

    • Author(s)
      水町 徹
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      Snowbird
    • Year and Date
      2011-05-22
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] Stability of co-propagating N-solitons of FPU lattices in the KdV limit2009

    • Author(s)
      水町 徹
    • Organizer
      SIAM Conference on Analysis of Partial Differential Equations
    • Place of Presentation
      アメリカ合衆国マイアミ
    • Year and Date
      2009-12-09
    • Data Source
      KAKENHI-PROJECT-21540220
  • [Presentation] Asymptotic stability of lattice solitons2008

    • Author(s)
      T. Mizumachi
    • Organizer
      Rykoku Workshop, Recent Progress on Pattern Formation and Dynamics in Mathematical Sciences
    • Place of Presentation
      Seta campus, Ryukoku University
    • Year and Date
      2008-06-13
    • Data Source
      KAKENHI-PROJECT-19340026
  • [Presentation] Asymptotic stability of lattice solitons in the energy space2008

    • Author(s)
      T., Mizumachi
    • Organizer
      Nonlinear Evolution Equations of Mathematical Physics
    • Place of Presentation
      Baton, USA
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540200
  • [Presentation] Stability of solitary waves via Pego-Weinstein's method,

    • Author(s)
      Tetsu Mizumachi
    • Organizer
      Stability of solitary wave
    • Place of Presentation
      ピサ大学, イタリア
    • Year and Date
      2014-05-26 – 2014-05-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • [Presentation] KP-II 方程式のline soliton 解の安定性

    • Author(s)
      水町 徹
    • Organizer
      日本数学会函数解析学分科会(特別講演)
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25 – 2014-09-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400174
  • 1.  YANAGIDA Eiji (80174548)
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  • 2.  EI Shin-ishiro (30201362)
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  • 3.  FUJII Kazuyuki (00128084)
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  • 4.  TSUTSUMI Yoshio (10180027)
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  • 5.  KOZONO Hideo (00195728)
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  • 6.  KAGEI Yoshiyuki (80243913)
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  • 7.  川島 秀一 (70144631)
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  • 10.  NAGASAWA Takeyuki (70202223)
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  • 11.  MATANO Hiroshi (40126165)
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  • 15.  SHIRAISHI Takaaki (50143160)
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  • 16.  福本 康秀 (30192727)
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  • 23.  MACHIDA Masahiko (60360434)
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  • 24.  TAKEDA Masayoshi (30179650)
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  • 25.  SHIMAKURA Norio (60025393)
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  • 26.  山本 昌宏 (50182647)
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  • 27.  片岡 清臣 (60107688)
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  • 28.  谷島 賢二 (80011758)
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  • 29.  ARISAWA Mariko (50312632)
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  • 30.  TAKEMURA Kouichi (10326069)
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  • 31.  KOKUBU Hiroshi (50202057)
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  • 32.  TAKAOKA Hideo (10322794)
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  • 36.  TANIGUCHI Masaharu (30260623)
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  • 37.  NAKAMURA Ken-Ichi (40293120)
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  • 38.  中村 徹 (90432898)
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  • 39.  瀬片 純市 (90432822)
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  • 40.  山崎 陽平 (70761493)
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