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.
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页码：3479 / 3492
页数：14
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