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
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
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