Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory
type: Item
instance of: scholarly article
title: Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory
zbMATH Open document ID: 1329.35064
author: Yongqin Liu
author: Shuichi Kawashima
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2013-12-19T00:00:00Z
review text: The authors consider a nonlinear Timoshenko system in the whole line. The system is weakly damped by a viscoelastic term in one of the components. This extremely weak dissipation does not allow the use of the well-known time-weighted energy method. To remedy to this, the authors assumed a stronger nonlinearity assumption than the usual one. Under further reasonable smallness and regularity assumptions, global existence and optimal decay results are proved.
reviewed by: N.-E. Tatar
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 74D10
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6239807
zbMATH Keywords: weak dissipation
zbMATH Keywords: optimal decay results
MaRDI profile type: Publication
full work available at URL: j.na.2013.02.005
OpenAlex ID: W2055246369
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DOI: 10.1016/J.NA.2013.02.005
description: scientific article; zbMATH DE number 6239807