Finite Dimensional Uniform Attractors for the Nonautonomous Camassa-Holm Equations

被引：1
|
作者：
Wu, Delin [1 ]
机构：
[1] China Jiliang Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2009年
关键词：
NAVIER-STOKES EQUATIONS;
D O I：
10.1155/2009/952657
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the uniform attractors for the three-dimensional nonautonomous Camassa-Holm equations in the periodic box Omega = [0, L](3). Assuming f = f( x, t) is an element of L(loc)(2) ((0, T); D(A(-1/2))), we establish the existence of the uniform attractors in D(A(1/2)) and D(A). The fractal dimension is estimated for the kernel sections of the uniform attractors obtained. Copyright (C) 2009 Delin Wu.
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页数：15
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