Global Attractors for Nonclassical Diffusion Equations of Kirchhoff Type  

作　　者：汪永海 王灵芝 

机构地区：[1]Department of Applied Mathematics, Donghua University [2]College of Management, Shanghai University of Engineering Science

出　　处：《Journal of Donghua University(English Edition)》2012年第4期305-310,共6页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China ( No. 11031003) ;Fund of Excellent Young Teachers in Shanghai,China( No.shgcjs008) ;Initial Fund of Shanghai University of Engineering Science,China( No. A-0501-11-016)

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.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 semicontinuons property are discussed.

关 键 词：global attractor nonclassical diffusion upper semicontinuity 

分 类 号：O175[理学—数学] O177[理学—基础数学]