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

页码：357 / 389

页数：33

共 50 条

[21] Global attractors for von Karman equations with nonlinear interior dissipation
Khanmamedov, AK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (01) : 92 - 101
[22] Von Karman equations for an elastic plate with dislocations and disclinations
Zubov, L. M.
DOKLADY PHYSICS, 2007, 52 (01) : 67 - 70
[23] Numerical Solutions of the Von Karman Equations for a Thin Plate
Patricio, da Silva, P.
Krauth, W.
International Journal of Modern Physics C; Physics and Computers, 8 (02):
[24] Numerical solutions of the von Karman equations for a thin plate
DaSilva, PP
Krauth, W
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1997, 8 (02): : 427 - 434
[25] FINITE FRACTAL DIMENSIONALITY OF ATTRACTORS FOR NONLOCAL EVOLUTION EQUATIONS
da Silva, Severino Horacio
Bezerra, Flank D. M.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[26] Attractors for non-dissipative irrotational von Karman plates with boundary damping (vol 253, pg 3568, 2012)
Bociu, Lorena
Toundykov, Daniel
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (02) : 893 - 893
[27] Bifurcations of the von Karman equations with Robin boundary conditions
Department of Applied Mathematics, National Chung Hsing University, Taichung 402, Taiwan
不详
Comput Math Appl, 3 (85-112):
[28] Bifurcations of the von Karman equations with Robin boundary conditions
Chien, CS
Kuo, YJ
Mei, Z
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (3-4) : 85 - 112
[29] Boundary value problems for degenerate von Karman equations
Lafayette Coll, Easton, United States
Q Appl Math, 1 (1-17):
[30] Boundary value problems for degenerate von Karman equations
Root, RG
QUARTERLY OF APPLIED MATHEMATICS, 1999, 57 (01) : 1 - 17

← 1 2 3 4 5 →