统计物理学
扩散
扩散方程
数学
物理
数学分析
热力学
经济
服务(商务)
经济
作者
Zhe Xie,Chengliang Li,Jun Xu,Yongqin Xie
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2024-06-03
卷期号:30 (1): 44-65
被引量:2
标识
DOI:10.3934/dcdsb.2024078
摘要
In this paper, we mainly investigate the existence and regularity of uniform attractor for non-autonomous nonclassical diffusion equation with perturbed parameter and hereditary memory under more general assumptions on memory kernel $ k $. In addition, the upper semicontinuity of this family of attractors with respect to perturbation parameters $ \nu $ is also proved. In particular, the nonlinearity $ f $ satisfies the polynomial growth of arbitrary order.
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