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

共 50 条

[31] Global Attractors of a Nonautonomous Reaction-Diffusion Equation
A. V. Kapustyan
Differential Equations, 2002, 38 : 1467 - 1471
[32] Upper semicontinuity of pullback attractors for a nonautonomous viscoelastic equation
Qin, Yuming
Zhang, Jianpeng
Sun, Linlin
APPLIED MATHEMATICS AND COMPUTATION, 2013, 223 : 362 - 376
[33] Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation
Miao, Fahe
Liu, Hui
Xin, Jie
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
[34] Global attractors of a nonautonomous reaction-diffusion equation
Kapustyan, AV
DIFFERENTIAL EQUATIONS, 2002, 38 (10) : 1467 - 1471
[35] Pullback and Uniform Exponential Attractors for Nonautonomous Boussinesq Lattice System
Zhao, Min
Zhou, Shengfan
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (08):
[36] Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term
Qin, Yuming
Wang, Hongli
Bin Yang
ASYMPTOTIC ANALYSIS, 2024, 137 (1-2) : 85 - 95
[37] Exponential stability of extensible beams equation with Balakrishnan-Taylor, strong and localized nonlinear damping
Hajjej, Zayd
SEMIGROUP FORUM, 2024, 108 (02) : 391 - 412
[38] Attractors for a second order nonautonomous lattice dynamical system with nonlinear damping
Fan, Xiaoming
Wang, Yaguang
PHYSICS LETTERS A, 2007, 365 (1-2) : 17 - 27
[39] Attractors for the Kirchhoff equations with strong nonlinear damping
Ma, Honglv
Zhong, Chengkui
APPLIED MATHEMATICS LETTERS, 2017, 74 : 127 - 133
[40] Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
Wang, Yonghai
Hu, Minhui
Qin, Yuming
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)

← 1 2 3 4 5 →