TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY

doi:10.1016/S0252-9602(13)60033-8

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 721-737.doi: 10.1016/S0252-9602(13)60033-8

TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY

汪永海|王灵芝

Department of Applied Mathematics, Donghua University, Shanghai 201620, China|College of Management, Shanghai University of Engineering Science, Shanghai 201620, China

收稿日期:2011-12-15 修回日期:2012-08-02 出版日期:2013-05-20 发布日期:2013-05-20
基金资助:
The first author is supported by NSFC Grant (11031003) and the Fundamental Research Funds for the Central Universities; the second author is support by Fund of excellent young teachers in Shanghai (shgcjs008) and Initial Fund of SUES (A–0501–11–016).

TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY

WANG Yong-Hai, WANG Ling-Zhi

Department of Applied Mathematics, Donghua University, Shanghai 201620, China|College of Management, Shanghai University of Engineering Science, Shanghai 201620, China

Received:2011-12-15 Revised:2012-08-02 Online:2013-05-20 Published:2013-05-20
Supported by:
The first author is supported by NSFC Grant (11031003) and the Fundamental Research Funds for the Central Universities; the second author is support by Fund of excellent young teachers in Shanghai (shgcjs008) and Initial Fund of SUES (A–0501–11–016).

摘要/Abstract

摘要：

In this article, we consider the existence of trajectory and global attractors for nonclassical diffusion equations with linear fading memory. For this purpose, we will apply the method presented by Chepyzhov and Miranville [7, 8], in which the authors provide some new ideas in describing the trajectory attractors for evolution equations with memory.

关键词: Trajectory attractor, global attractor, memory kernel

Abstract:

Key words: Trajectory attractor, global attractor, memory kernel

中图分类号:

37L05

汪永海, 王灵芝. TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY[J]. 数学物理学报(英文版), 2013, 33(3): 721-737.

WANG Yong-Hai, WANG Ling-Zhi. TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY[J]. Acta mathematica scientia,Series B, 2013, 33(3): 721-737.

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TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY

TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY

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