Mizumachi Tetsu 水町徹

… Alternative Names

Researcher Number	60315827
Other IDs	https://orcid.org/0000-0001-5041-7291
Affiliation (Current)	2020: 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	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 2007: 九大, 数理(科)学研究科(研究院), 助教授 … More
Review Section/Research Field	Principal Investigator Basic analysis / Mathematical analysis / Basic analysis / Global analysis Except Principal Investigator Global analysis / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis / Global analysis / Basic analysis / Mathematical analysis
Keywords	Principal Investigator 安定性解析 / 安定性 / 平面進行波 / 孤立波 / 非線形シュレディンガー方程式 / 漸近安定性 / 非線形分散型方程式 / KP-II方程式 / KP-II / 一般化KdV方程式 … More Except Principal Investigator 反応拡散方程式 / 適切性 / 非線形発展方程式 / 非線形波動方程式 / 初期値問題 / well-posedness / null condition / 修正KdV方程式 / 初期値問題の適切性 / 解の漸近挙動 / パルス相互作用 / 界面方程式 / パターン形成 / 摂動展開 / Ginzburg-Landau方程式 / 渦糸解 / 遷移ダイナミクス / 解の安定性 / 分岐解析 / 超伝導モデル / Gross-Pitaevskii方程式 / パターンダイナミクス / Gross-Pitaevskii方程 / ジョセフソン効果 / kdv方程式 / ホワイトノイズ / 確立微分方程式 / KdV方程式 / 確率微分方程式 / ストリッカーツの評価式 / 伝播速度の異なる波の相互作用 / クライン-ゴルドン-ザハロフ方程式 / 零条件 / 非線形クライン-ゴルドン方程式 / ヘルマンダー予想 / 概大域的存在 / 非線型シュレディンガー方程式 / ゲージ不変性 / ヌルゲージ条件 / nonlinear wave equations / KdV equations / Cauchy problem / white noise / stochastic differential equations / Dirac-Proca方程式 / Maxwell-Higgs方程式 / 時間大域存在 / 修正kdV方程式 / 弱解 / 周期境界条件 / 解の連続依存性 / フーリエ制限空間 / 振動積分 / 特異摂動 / 零条件(null condition) / 時間大域解 / 解の正則性 / Dirac-Proca equations / Maxwell-Higgs equations / global existence in time / modified KdV equation / initial value problem / weak solution / 反応拡散系 / パルスダイナミクス / 分岐構造 / 自己複製パターン / パルスの弾性的反射 / 欠陥のダイナミクス / 分岐点 / パルス解 / 自己複製 / 粒子的反射 / 中心多様体 / 弱い相互作用 / 粒子的反射運動 / 特異点 / 脈動的進行パルス / reaction-diffusion systems / pulse dynamics / pulse interaction / bifurcation structure / self-replication / elastic reflection of pulses / 修正KdV / 非線形散乱理論 / 長距離相互作用 / 無条件一意性 / 非線形Schrodinger方程式 / Fourier制限ノルム法 / Besov空間 / 解の無条件一意性 / 変形Benjamin-Ono方程式 / 非線形Klein-Gordon方程式 / 基底定在波解 / 強い意味での不安定性 / 漸近自由 / 定在波解 / 安定性と不安定性 / soliton-defect interaction / エネルギー空間 / Benjamin-Bona-Mahony方程式 / 孤立波解 / 漸近安定性 / 非線形シュレディンガー方程式 / 初期値に関する一様連続依存性 / 非線形Dirac方程式 / 非相対論的極限 / 初期層 / Well-posedness / Modified KdV / Nonlinear scattering theory / Long range interaction / Unconditional uniqueness / Nonlinear Schrodinger equations / Fourier restriction norm method / Besov spaces / 反応拡散方程式系 / 界面ダイナミクス / フロント進行波解 / 平面解 / 4階の方程式 / チューリング不安定性 / 局在解 / Reaction diffusion systems / Pulse interaction / Interfacial dynamics / Traveline front / 非線形解析 / 偏微分方程式 / 解の爆発 / 界面運動 / 漸近的手法 / 特異極限 / 拡散方程式 / 熱方程式 / 進行波 / nonlinear analysis / partial differential equation / blow-up of solutions / interface motion / asymptotic method / singular limit / nonlinear diffusion equations / nonlinear heat equation / 函数方程式論 / 圧縮性Navier-Stokes方程式 / 周期パターン / スペクトル / 安定性 / 関数方程式論 Less

非線形分散型方程式に現れる平面進行波解の安定性解析Principal InvestigatorOngoing
- Principal Investigator
  
  水町徹
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Hiroshima University
圧縮流体方程式の時空非一様ダイナミクスの数学解析Ongoing
- Principal Investigator
  
  隠居良行
- 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

[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] Stability of line solitons for the KP-II equation in R2. II2018
- Author(s)
  Tetsu Mizumachi
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  
  Volume: 148 Pages: 149-198
- DOI
  10.1017/s0308210517000166
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05332, KAKENHI-PROJECT-17H02856
[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 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 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] 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 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) Pages: 971-987
- DOI
  10.3934/dcdss.2012.5.971
- 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] N-soliton states of the FPU lattices2011
- Author(s)
  T.Mizumachi
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 43(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 and T. Mizumachi
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: 196巻2号 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)
  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)
  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] 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] 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
  
  Comm. Math. Phys. 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
  
  Communicaitons in Mathematical Physics
  
  Volume: 288巻1号 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] 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] 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
  120000815951
- 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] 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
  
  Journal Math. Kyoto University 48
  
  Pages: 471-498
- 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] 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] 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)
  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巻3号
  
  Pages: 241-264
- Data Source
  KAKENHI-PROJECT-17740079
[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)
  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] 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] 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
- 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)
  Mizumachi, T.
- Journal Title
  
  Nonlinear Analysis : Theory, Methods and Applications 64
  
  Pages: 657-676
- Data Source
  KAKENHI-PROJECT-17340044
[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] 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 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 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)
  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] 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] 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] 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 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 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 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 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
  Workshop on Inverse Scattering and Dispersive PDEs in Two Space Dimensions
- 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] 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] 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] 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] 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)
  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] 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)
  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] 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 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] 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] 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] 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 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] 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
  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
  Nonlinear Waves and Dispersive Equations
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach
- Invited
- Data Source
  KAKENHI-PROJECT-25400174
[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] 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] 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] 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] 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] 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] 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] 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 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] 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
[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

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. OGAWA Toshiyuki (80211811)

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8. MATANO Hiroshi (40126165)

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9. OHTA Masahito (00291394)

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10. 高木泉 (40154744)

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11. NAKANISHI Kenji (40322200)

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12. SHIRAISHI Takaaki (50143160)

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25. KOKUBU Hiroshi (50202057)

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35. 中村徹 (90432898)

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Mizumachi Tetsu 水町 徹

MIZUMACHI Tetsu 水町 徹

Research Projects

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Co-Researchers

非線形分散型方程式に現れる平面進行波解の安定性解析Principal InvestigatorOngoing

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圧縮流体方程式の時空非一様ダイナミクスの数学解析Ongoing

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Stability analysis of patterns in nonlinear dispersive equationsPrincipal Investigator

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Dynamics of solutions for nonlinear dispersive equationPrincipal Investigator

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非線形分散型偏微分方程式の孤立波の安定性解析Principal Investigator

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非線形分散型方程式の孤立波の安定性の研究Principal Investigator

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非線形分散型方程式の孤立波の安定性の研究Principal Investigator

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Mizumachi Tetsu 水町徹

MIZUMACHI Tetsu 水町徹