Exponential attractor for the 3D Ginzburg-Landau type equation

被引：13
|
作者：
Lue, Shujuan
Lu, Qishao [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Dept Math, Beijing 100083, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, LMIB, Beijing 100083, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Ginzburg-Landau type equation; global attractor; exponential attractor; Hausdorff dimension; fractal dimension;
D O I：
10.1016/j.na.2006.10.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a complex Ginzburg-Landau type equation with periodic initial value condition in three spatial dimensions. Sufficient conditions for existence and uniqueness of global solutions are obtained by uniform a priori estimates of solutions. Furthermore, the existence of a global attractor with finite Hausdorff and fractal dimensions is proved. Finally, the existence of the exponential attractor is proved. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：3116 / 3135
页数：20
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