Asymptotic Regularity and Uniform Attractor for Non-autonomous Viscoelastic Equations with Memory

被引：0

作者：

Zeng, Ye ^{[1
]}

Li, Yanan ^{[1
]}

Xie, Yongqin ^{[1
]}

Luo, Shuangli ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Hunan, Peoples R China

来源：

PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING AND STATISTICS APPLICATION (AMMSA 2017) | 2017年 / 141卷

基金：

中国国家自然科学基金;

关键词：

non-autonomous wave equations; asymptotic regularity; uniform attractor; memory; viscoelasticity; BEHAVIOR; DYNAMICS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, long-time behavior of a class of non-autonomous viscoelastic equations with fading memory is investigated. We establish the existence of a compact uniform attractor together with its structure in H-0(1)(Omega) x H-0(1)(Omega) x L-mu(2)(R+; H-0(1)(Omega)). The compact uniform attractor is bounded in D(A) x D(A) x L-mu(2)(R+; D(A)) and attracts every bounded set of H-0(1)(Omega) x H-0(1)(Omega) x L-mu(2)(R+; H-0(1)(Omega)).

引用

页码：309 / 318

页数：10

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