Asymptotic behavior for the damped Boussinesq equation with critical nonlinearity

被引：8
|
作者：
Li, Ke [1 ]
Fu, Shihui [1 ]
机构：
[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 30卷
关键词：
Damped Boussinesq equation; Global attractor; Exponential attractor; BLOW-UP; SMOOTH SOLUTIONS; SOLITARY WAVES; STABILITY; TERM;
D O I：
10.1016/j.aml.2013.12.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is focused on the long-time behavior of solutions to the damped Boussinesq equation u(tt) + Delta(2)u - Delta u(t) - Delta f (u) = g(x), in Omega C R-3, which describes the small nonlinear oscillations of elastic membranes in the presence of viscosity. The existence of the global attractor of optimal regularity and an exponential attractor are respectively established in the critical case. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：44 / 50
页数：7
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