Finite dimensionality of the global attractors for von Karman equations with nonlinear interior dissipation

Khanmamedov, AZER

doi:10.1016/j.na.2005.11.022

Finite dimensionality of the global attractors for von Karman equations with nonlinear interior dissipation

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Khanmamedov A.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.66, no.1, pp.204-213, 2007 (SCI-Expanded)

Publication Type: Article / Article
Volume: 66 Issue: 1
Publication Date: 2007
Doi Number: 10.1016/j.na.2005.11.022
Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.204-213
Hacettepe University Affiliated: Yes

Abstract

In this paper we study the global attractors for von Karman equations with nonlinear interior dissipation. We prove regularity and then establish finite dimensionality of the global attractors without assuming large values for the damping parameter. (c) 2005 Elsevier Ltd. All rights reserved.