Long time behaviour for generalized complex Ginzburg-Landau equation

被引：20
|
作者：
Li, Donglong [1 ]
Dai, Zhengde
Liu, Xuhong
机构：
[1] Guangxi Inst Technol, Liuzhou 545006, Peoples R China
[2] Yunnan Univ, Kunming 650091, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 02期
关键词：
generalized complex Ginzburg-Landau equation; global attractor; fractal dimension;
D O I：
10.1016/j.jmaa.2006.07.095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the two-dimensional generalized complex Ginzburg-Landau equation (CGL) u(t) = rho u - Delta phi(u) - (1 + i gamma)Delta u - nu Delta(2)u - (1 + i mu)vertical bar u vertical bar(2 sigma) u + alpha lambda(1) . del(vertical bar u vertical bar(2)u) + beta(lambda(2) . del)vertical bar u vertical bar(2) is studied. The existence of global attractor for this equation with periodic boundary condition is established and upper bounds of Hausdorff and fractal dimensions of attractor are obtained. (c) 2006 Elsevier Inc. All rights reserved.
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页码：934 / 948
页数：15
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