Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem

The paper is concerned with the existence and stability of weak (variational) solutions for the problem of the quasistatic evolution of a viscoelastic material under mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty of the paper relies in dealing with continuous-in-time weak...

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Main Author:	Julia Orlik
Format:	Article
Language:	English
Published:	Hindawi Limited 2009-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2009/828315

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spelling	doaj-05210135ccef4d0583aadca87d4df3b32020-11-24T22:41:52ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/828315828315Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity ProblemJulia Orlik0Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Gottlieb-Daimler Straße 49 D, 67663 Kaiserslautern, GermanyThe paper is concerned with the existence and stability of weak (variational) solutions for the problem of the quasistatic evolution of a viscoelastic material under mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty of the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels.http://dx.doi.org/10.1155/2009/828315
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Julia Orlik
spellingShingle	Julia Orlik Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem Abstract and Applied Analysis
author_facet	Julia Orlik
author_sort	Julia Orlik
title	Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
title_short	Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
title_full	Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
title_fullStr	Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
title_full_unstemmed	Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
title_sort	existence and stability estimate for the solution of the ageing hereditary linear viscoelasticity problem
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2009-01-01
description	The paper is concerned with the existence and stability of weak (variational) solutions for the problem of the quasistatic evolution of a viscoelastic material under mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty of the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels.
url	http://dx.doi.org/10.1155/2009/828315
work_keys_str_mv	AT juliaorlik existenceandstabilityestimateforthesolutionoftheageinghereditarylinearviscoelasticityproblem
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Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem

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