Global Attractors for Nonclassical Diffusion Equations of Kirchhoff Type

被引：0
|
作者：
汪永海 [1 ]
王灵芝 [2 ]
机构：
[1] Department of Applied Mathematics, Donghua University
[2] College of Management, Shanghai University of Engineering Science
来源：
JournalofDonghuaUniversity(EnglishEdition) | 2012年 / 29卷 / 04期
基金：
中国国家自然科学基金;
关键词：
global attractor; nonclassical diffusion; upper semicontinuity;
D O I：
10.19884/j.1672-5220.2012.04.005
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this article, the well-posedness and long-time behavior of a nonclassical diffusion equation of Kirchhoff type are considered. Using the method of Galerkin approximation, the existence and uniqueness of solutions are proved. At last, the existence of global attractors and its upper semicontinuous property are discussed.
引用
收藏
页码：305 / 310
页数：6
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