4.5 Article

Uniform decay rates for nonlinear viscoelastic Marguerre-von Karman equations

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 351, Issue 2, Pages 522-535

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.10.045

Keywords

Marguerre-von Karman equations; Nonlinear; Viscoelastic; Uniform decay

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In this paper, we consider a model of nonlinear viscoelastic shallow shell that is referred to as the full Marguerre-von Karman under the presence of long-time memory. We show that the energy functional associated with the system decays exponentially to zero as time goes to infinity. (c) 2008 Elsevier Inc. All rights reserved.

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