Dynamics of a nonlocal Kuramoto-Sivashinsky equation

被引：21
|
作者：
Duan, JQ [1 ]
Ervin, VJ [1 ]
机构：
[1] Clemson Univ, Dept Math Sci, Clemson, SC 29643 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 143卷 / 02期
基金：
美国国家科学基金会;
关键词：
nonlocal; attractor; Hausdorff dimension; Hilbert transform; infinite dimensional dynamical system;
D O I：
10.1006/jdeq.1997.3371
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the effects of a "nonlocal" term on the global dynamics of the Kuramoto-Sivashinsky equation. We show that the equation possesses a "family of maximal attractors" parameterized by the mean value of the initial data. The dimension of the attractor is estimated as a Function of the coefficient of the nonlocal term and the width of the periodic domain. (C) 1998 Academic Press.
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页码：243 / 266
页数：24
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