Uniform attractors for a nonautonomous extensible plate equation with a strong damping

被引：11

作者：

Feng, Baowei ^{[1
]}

Yang, Xin-Guang ^{[2
]}

Qin, Yuming ^{[3
]}

机构：

[1] Southwestern Univ Finance & Econ, Fac Econ Math, Chengdu 611130, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[3] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 10期

基金：

巴西圣保罗研究基金会;

关键词：

plate equation; strong damping; uniform attractors; EXPONENTIAL DECAY; BEAM; STABILIZATION; STABILITY; DYNAMICS;

D O I：

10.1002/mma.4239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the long-time dynamics of solutions to a nonlinear nonautonomous extensible plate equation with a strong damping. Under some suitable assumptions on the initial data, the nonlinear term and external force, we establish the existence of global solutions that generate a family of processes for the problem and obtain uniform attractors corresponding to strong and weak symbol spaces in a bounded domain (n >= 1). Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：3479 / 3492

页数：14

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