Well-posedness of fractional Ginzburg-Landau equation in Sobolev spaces

被引:8
|
作者
Li, Jingna [1 ]
Xia, Li [2 ]
机构
[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
[2] Shenzhen Univ, Dept Math, Shenzhen 518060, Peoples R China
基金
美国国家科学基金会;
关键词
fractional Ginzburg-Landau equation; well-posedness; Sobolev space; Gevrey regularity;
D O I
10.1080/00036811.2011.649733
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article is concerned with real fractional GinzburgLandau equation. Existence and uniqueness of local and global mild solution for both whole space case and flat torus case are obtained by contraction semigroup method, and Gevrey regularity of mild solution for flat torus case is discussed.
引用
收藏
页码:1074 / 1084
页数:11
相关论文
共 50 条
  • [1] Well-posedness of the fractional Ginzburg-Landau equation
    Gu, Xian-Ming
    Shi, Lin
    Liu, Tianhua
    [J]. APPLICABLE ANALYSIS, 2019, 98 (14) : 2545 - 2558
  • [2] Well-posedness and dynamics for the fractional Ginzburg-Landau equation
    Pu, Xueke
    Guo, Boling
    [J]. APPLICABLE ANALYSIS, 2013, 92 (02) : 318 - 334
  • [3] Unconditional Well-Posedness In the Energy Space For The Ginzburg-Landau Equation
    Nikolova, Elena
    Tarulli, Mirko
    Venkov, George
    [J]. SIXTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2019), 2019, 2159
  • [4] Well-posedness for the nonlinear fractional Schrodinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
    Guo, Boling
    Huo, Zhaohui
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (01) : 226 - 242
  • [5] Well-Posedness for a Ginzburg-Landau Model in Superfluidity
    Berti, V.
    Fabrizio, M.
    [J]. NEW TRENDS IN FLUID AND SOLID MODELS, 2010, : 1 - 9
  • [6] Local well-posedness of the complex Ginzburg-Landau equation in bounded domains
    Kuroda, Takanori
    Otani, Mitsuharu
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 45 : 877 - 894
  • [7] Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
    Boling Guo
    Zhaohui Huo
    [J]. Fractional Calculus and Applied Analysis, 2013, 16 : 226 - 242
  • [8] Global well-posedness for the generalized 2D Ginzburg-Landau equation
    Huo, Zhaohui
    Jia, Yueling
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (01) : 260 - 276
  • [9] WELL-POSEDNESS OF THE PRANDTL EQUATION IN SOBOLEV SPACES
    Alexandre, R.
    Wang, Y. -G.
    Xu, C. -J.
    Yang, T.
    [J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 28 (03) : 745 - 784
  • [10] WELL-POSEDNESS OF FRACTIONAL STOCHASTIC COMPLEX GINZBURG-LANDAU EQUATIONS DRIVEN BY REGULAR ADDITIVE NOISE
    Liu, Aili
    Zou, Yanyan
    Ren, Die
    Shu, Ji
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (11): : 5418 - 5436