Mizumachi Tetsu 水町徹

… Alternative Names

Researcher Number	60315827
Other IDs	https://orcid.org/0000-0001-5041-7291
Affiliation (Current)	2021: 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	2021: 広島大学, 理学(系)研究科(研究院), 教授 2020: 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 … More
Review Section/Research Field	Principal Investigator Basic analysis / Mathematical analysis / Basic analysis / Global analysis / Basic Section 12020:Mathematical analysis-related Except Principal Investigator Global analysis / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis … More
Keywords	Principal Investigator 安定性解析 / 安定性 / 平面進行波 / KP-II方程式 / 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 / 線形安定性 … 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 / 圧縮性Navier-Stokes方程式 / 安定性 / 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 / 周期パターン / スペクトル / 関数方程式論 / 準線形双曲放物型方程式系 / 分岐 / ダイナミクス Less

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 InvestigatorOngoing
- 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 lawsOngoing
- 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
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] The Phase Shift of Line Solitons for the KP-II Equation2019
- Author(s)
  Mizumachi Tetsu
- Journal Title
  
  Nonlinear dispersive partial differential equations and inverse scattering
  
  Volume: 83 Pages: 433-495
- DOI
  10.1007/978-1-4939-9806-7_10
- 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 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] 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 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] Asymptotic Stability of N-Solitary Waves of the FPU Lattices2013
- Author(s)
  T. Mizumachi
- Journal Title
  
  Archive for Rational Mechanics and Analysis
  
  Volume: 207巻2号 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 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] 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, 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 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 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
  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
  
  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] 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. OGAWA Toshiyuki (80211811)

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7. NAGASAWA Takeyuki (70202223)

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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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39. 瀬片純市 (90432822)

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Mizumachi Tetsu 水町 徹

MIZUMACHI Tetsu 水町 徹

Research Projects

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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 InvestigatorOngoing

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Review Section

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New developments in mathematical analysis of spatio-temporal nonuniform dynamics in quasilinear hyperbolic-parabolic conservation lawsOngoing

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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