ASYMPTOTIC BEHAVIOR OF QUASI-LINEAR EVOLUTION EQUATIONS ON TIME-DEPENDENT PRODUCT SPACES

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成果类型：

期刊论文

作者：

Xie, Zhe;Zhang, Jiangwei;Xie, Yongqin

通讯作者：

Jiangwei Zhang

作者机构：

[Xie, Zhe] Sinoma Wind Power Blade Co Ltd, Res & Dev Ctr, Beijing 100192, Peoples R China.

[Zhang, Jiangwei] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China.

[Xie, Yongqin] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.

通讯机构：

[Jiangwei Zhang] C

College of Science, National University of Defense Technology, Changsha Hunan 410073, China

语种：

英文

关键词：

lacking instantaneous damping;memory;Nonclassical diffusion equation;the time-dependent pullback global attractors

期刊：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

ISSN：

1531-3492

年：

2023

卷：

期：

页码：

2316-2334

DOI：

10.3934/dcdsb.2022171

基金类别：

2020 Mathematics Subject Classification. Primary: 35K57, 35B40, 35B41; Secondary: 45K05. Key words and phrases. Nonclassical diffusion equation, the time-dependent pullback global attractors, memory, lacking instantaneous damping. The research is financially supported by National Natural Science Foundation of China (Nos. 11101053, 71471020). ∗ Corresponding author: Jiangwei Zhang.

机构署名：

本校为其他机构

院系归属：

数学与统计学院

摘要：

This paper considers the asymptotic behavior of nonclassical diffusion equation with memory and lacking instantaneous damping on time-dependent space. The existence and regularity of time-dependent pullback global attractors are proved by using the contractive process method and a new analytical technique. It is remarkable that the nonlinearity f satisfies the polynomial growth of arbitrary order. © 2023 American Instit...

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