user

Well-posedness of the fractional Ginzburg-Landau equation

被引：12
|
作者：
Gu, Xian-Ming [1 ,2 ]
Shi, Lin [3 ]
Liu, Tianhua [4 ]
机构：
[1] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu, Sichuan, Peoples R China
[2] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, Groningen, Netherlands
[3] Southwest Jiaotong Univ, Sch Math, Chengdu, Sichuan, Peoples R China
[4] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China
来源：
APPLICABLE ANALYSIS | 2019年 / 98卷 / 14期
关键词：
Fractional Ginzburg-Landau equation; Well-posedness; Sobolev space; Asymptotic behavior; MAXIMUM PRINCIPLE; DYNAMICS;
D O I：
10.1080/00036811.2018.1466281
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the well-posedness of the real fractional Ginzburg-Landau equation in several different function spaces, which have been used to deal with the Burgers' equation, the semilinear heat equation, the Navier-Stokes equations, etc. The long time asymptotic behavior of the nonnegative global solutions is also studied in details.
引用
收藏
页码：2545 / 2558
页数：14
相关论文
共 50 条
  • [31] A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation
    Yang, Yin
    Tao, Jianyong
    Zhang, Shangyou
    Sivtsev, Petr V.
    [J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2020, 12 (01) : 57 - 86
  • [32] RANDOM ATTRACTOR FOR FRACTIONAL GINZBURG-LANDAU EQUATION WITH MULTIPLICATIVE NOISE
    Lu, Hong
    Lu, Shujuan
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (02): : 435 - 450
  • [33] Psi-series solution of fractional Ginzburg-Landau equation
    Tarasov, Vasily E.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (26): : 8395 - 8407
  • [34] An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation
    Wang, Pengde
    Huang, Chengming
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 312 : 31 - 49
  • [35] New Exact Solutions of the Fractional Complex Ginzburg-Landau Equation
    Huang, Chun
    Li, Zhao
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [36] Controllability of the Ginzburg-Landau equation
    Rosier, Lionel
    Zhang, Bing-Yu
    [J]. COMPTES RENDUS MATHEMATIQUE, 2008, 346 (3-4) : 167 - 172
  • [37] Well-posedness for a mean field model of Ginzburg–Landau vortices with opposite degrees
    Edoardo Mainini
    [J]. Nonlinear Differential Equations and Applications NoDEA, 2012, 19 : 133 - 158
  • [38] Well-posedness of the spatially homogeneous Landau equation for soft potentials
    Fournier, Nicolas
    Guerin, Helene
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (08) : 2542 - 2560
  • [39] Sharp global well-posedness for the fractional BBM equation
    Wang, Ming
    Zhang, Zaiyun
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (15) : 5906 - 5918
  • [40] GLOBAL WELL-POSEDNESS FOR THE CUBIC FRACTIONAL SCHRODINGER EQUATION
    Gao, Xinjun
    [J]. COLLOQUIUM MATHEMATICUM, 2018, 153 (01) : 81 - 96
12345