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
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