Complex Ginzburg-Landau type equations

2010 Fiscal Year Self-evaluation Report

• Project/Area Number: 20740079
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Basic analysis
• Research Institution: Tokyo University of Science
• Principal Investigator: YOKOTA Tomomi Tokyo University of Science, 理学部・第一部, 准教授 (60349826)
• Project Period (FY): 2008 – 2011
• Keywords: 関数方程式

Research Abstract

複素ギンツブルク・ランダウ型方程式(CGLT)と非線形シュレディンガー型方程式(NLST)に対して、以下の研究を行う。
(1)(CGLT)と(NLST)の時間大域的可解性の研究
(2)(CGLT)の力学系的な研究・アトラクターの存在
(3)(CGLT)と(NLST)の爆発解についての研究
(4)(CGLT)と(NLST)との関係についての研究

Research Products

• [Journal Article] Subdifferential operator approach to strong wellposedness of the complex Ginzburg-Landau equation (2010)
  • Author(s): Noboru Okazawa, Tomomi Yokota
  • Journal Title: Discrete and Continuous Dynamical Systemes 28 Pages: 311-341
  • Peer Reviewed
• [Journal Article] Generation of analytic semigroups by generalized Ornstein-Uhlenbeck operators with potentials (2009)
  • Author(s): Takeshi Kojima, Tomomi Yokota
  • Journal Title: Journal of Mathematical Analysis and Applications 364 Pages: 618-629
  • Peer Reviewed
• [Journal Article] The complex Ginzburg-Landau equation(an improvement) (2008)
  • Author(s): Tomomi Yokota, Noboru Okazawa
  • Journal Title: GAKUTO Internat.Ser.Math.Sci.Appl. 29 Pages: 463-475
  • Peer Reviewed
• [Presentation] Cauchy problem for the complex Ginzburg-Landau equation with harmonic oscillator (2010)
  • Author(s): 横田智巳
  • Organizer: Nonlinear evolution equations and related topics to mathematical analysis of a phenomena
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2010-10-14
• [Presentation] Smoothing effect for complex Ginzburg-Landau type equations with p-Laplacian (2010)
  • Author(s): 横田智巳
  • Organizer: 日本数学会年会実函数論分科会
  • Place of Presentation: 慶應義塾大学
  • Year and Date: 2010-03-26
• [Presentation] Monotonicity method applied to complex Ginzburg-Landau type equations (2009)
  • Author(s): 横田智巳
  • Organizer: 日本数学会秋季総合分科会実函数論分科会
  • Place of Presentation: 大阪大学
  • Year and Date: 2009-09-25
• [Presentation] 複素Ginzburg-Landau方程式のLp理論に向けて (2008)
  • Author(s): 横田智巳
  • Organizer: 日本数学会秋季総合分科会実函数論分科会
  • Place of Presentation: 東京工業大学
  • Year and Date: 2008-09-27