LONG-TIME BEHAVIOR FOR A PLATE EQUATION WITH NONLOCAL WEAK DAMPING

被引：5
|
作者：
Jorge Silva, M. A. [1 ]
Narciso, V. [2 ]
机构：
[1] Univ Estadual Londrina, Dept Matemat, BR-86057970 Londrina, Parana, Brazil
[2] Univ Estadual Mato Grosso do Sul, Nucleo Ciencias Exatas, Unidade Dourados, BR-79804970 Dourados, MS, Brazil
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 9-10期
关键词：
UNIFORM ATTRACTOR; GLOBAL ATTRACTORS; EXTENSIBLE BEAM; MODELS; DYNAMICS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the long-time behavior of solutions for a class of plate equations with nonlocal weak damping u(tt) + Delta(2)u + g(u) + M (integral(Omega)vertical bar del u vertical bar(2)dx)u(t) = f in Omega x R+, where Omega is a bounded domain of R-N. Under suitable conditions on the nonlinear forcing term g(u) and Kirchhoff damping coefficient M(integral vertical bar del u vertical bar(2)), the existence of a global attractor with finite Hausdorff and fractal dimensions is proved.
引用
收藏
页码：931 / 948
页数：18
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