FINITE-DIMENSIONALITY OF ATTRACTORS ASSOCIATED WITH VON KARMAN PLATE EQUATIONS AND BOUNDARY DAMPING

被引：17
|
作者：
LASIECKA, I
机构：
[1] Department of Applied Mathematics, University of Virginia, Charlottesville, VA 22903, Thornton Hall
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1995年 / 117卷 / 02期
关键词：
D O I：
10.1006/jdeq.1995.1057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Asymptotic behavior of solutions to a fully nonlinear von Karman system is considered. The existence of compact attractors in the presence of nonlinear boundary damping is established. It is also shown that in the case of linear boundary dissipation, this attractor is of finite Hausdorff dimension (with explicit estimates of the dimension). (C) 1995 Academic Press, Inc.
引用
收藏
页码：357 / 389
页数：33
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