TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY

被引：11
|
作者：
Wang, Yonghai [1 ]
Wang, Lingzhi [2 ]
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[2] Shanghai Univ Engn Sci, Coll Management, Shanghai 201620, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 03期
关键词：
Trajectory attractor; global attractor; memory kernel; PHASE-FIELD MODEL; SEMILINEAR HEAT-EQUATIONS; DAMPED WAVE-EQUATION; GLOBAL ATTRACTORS; UNIFORM ATTRACTORS; LINEAR MEMORY; DYNAMICS; STABILITY; LIMIT;
D O I：
10.1016/S0252-9602(13)60033-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 well 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.
引用
收藏
页码：721 / 737
页数：17
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