The large time convergence of spectral method for generalized Kuramoto-Sivashinsky equation (II)

被引：0

作者：

Xiang, XM ^{[1
]}

机构：

[1] Shanghai Normal Univ, Shanghai 200234, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 1998年 / 16卷 / 03期

关键词：

Kuramoto-Sivashinsky equation; large time convergence; Approximate attractor; Upper semicontinuity of attractors;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study fully discrete spectral method and long time behavior of solution of generalized Kuramoto-Sivashinsky equation with periodic initial condition. We prove that the large time error estimation for fully discrete solution of spectral method. We prove the existence of approximate attractors A(N), A(N)(k), respectively and d(A(N), A) --> 0, d(A(N)(k), A) --> 0.

引用

页码：203 / 212

页数：10

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