Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface
type: Item
instance of: scholarly article
title: Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface
zbMATH Open document ID: 1006.35016
DOI: 10.1016/S0362-546X(01)00135-3
author: Catherine Lebiedzik
author: Irena Lasiecka
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-17T00:00:00Z
review text: This paper studies uniform stability of coupled systems of nonlinear partial differential equations (PDEs) with an interface. The PDEs considered consist of an undamped wave equation (acoustic medium), defined on a three-dimensional bounded domain, which is coupled with a nonlinear plate equation (structural medium) whose dynamics are defined on a portion \(\Gamma_0\) of the boundary \(\Gamma\) of \(\Omega\). The coupling between the acoustic and structural medium takes place on the boundary portion \(\Gamma_0\), which is referred to as the interface.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 1751628
zbMATH Keywords: acoustic medium
zbMATH Keywords: structural medium
zbMATH Keywords: undamped wave equation
zbMATH Keywords: nonlinear plate equation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s0362-546x(01)00135-3
OpenAlex ID: W2055612838
description: scientific article; zbMATH DE number 1751628