Exponential stability of the von Kármán system with internal damping-Reference-Cited by-同舟云学术

Exponential stability of the von Kármán system with internal damping

Published:2023-08-25 Issue:1 Volume:31 Page:111-119
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Raposo Carlos¹^ORCID,Martins Roseane¹,Ribeiro Joilson¹,Vera Octavio²

Affiliation:

1. Departament of Mathematics , Federal University of Bahia , Salvador - BA , Brazil

2. Department of Mathematics , University of Tarapacá , Arica , Chile

Abstract

Abstract This work deals with a von Kármán system with internal damping. For the solution’s existence, we use nonlinear semigroup theory tools. We construct an evolution system by nonlinear Lipschitz perturbation of a semigroup of contractions. We apply the energy method for the asymptotic behavior, which uses suitable multipliers to construct a Lyapunov functional that leads to exponential decay.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2063/pdf

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