The fractal structure of attractor for the generalized Kuramoto-Sivashinsky equations

被引：0

作者：

Dai, ZD ^{[1
]}

Guo, BL ^{[1
]}

Lin, GG ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1998年 / 19卷 / 03期

关键词：

GKS equation; attractor; inertial set; fractal structure;

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, the generalized Kuramoto-Sivashinsky equations (GKS) with periodic boundary value problem are considered and the construction of inertial sets in space H-2 is given. Furthermore, this paper gives and proves the fractal structure of attractors for GKS equations, and find out an exponentially approximating sequence of compact fractal localizing sets of the attractors, these results sharpen and improve the conclusions of the inertial sets and attractor for GKS equation in [1,3,5,7], which describe a kind of geometrical structure of the attractors.

引用

页码：263 / 277

页数：15

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