Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system

We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration fo...

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Main Authors:	Elena Bonetti, Giovanna Bonfanti
Format:	Article
Language:	English
Published:	Hindawi Limited 2005-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/AAA.2005.105

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spelling	doaj-120000676a91405fb394362014cfba5f2020-11-24T23:58:01ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092005-01-012005210512010.1155/AAA.2005.105Asymptotic analysis for vanishing acceleration in a thermoviscoelastic systemElena Bonetti0Giovanna Bonfanti1Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata 1, Pavia 27100, ItalyDipartimento di Matematica, Università degli Studi di Brescia, via Branze 38, Brescia 25123, ItalyWe have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration forces goes to zero. In particular, well-posedness and regularity results for the limit (quasistatic) problem are recovered.http://dx.doi.org/10.1155/AAA.2005.105
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Elena Bonetti Giovanna Bonfanti
spellingShingle	Elena Bonetti Giovanna Bonfanti Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system Abstract and Applied Analysis
author_facet	Elena Bonetti Giovanna Bonfanti
author_sort	Elena Bonetti
title	Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
title_short	Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
title_full	Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
title_fullStr	Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
title_full_unstemmed	Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
title_sort	asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2005-01-01
description	We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem. The aim of the present paper is to study the asymptotic behavior of the solution to the above problem as the power of the acceleration forces goes to zero. In particular, well-posedness and regularity results for the limit (quasistatic) problem are recovered.
url	http://dx.doi.org/10.1155/AAA.2005.105
work_keys_str_mv	AT elenabonetti asymptoticanalysisforvanishingaccelerationinathermoviscoelasticsystem AT giovannabonfanti asymptoticanalysisforvanishingaccelerationinathermoviscoelasticsystem
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Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system

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