Some qualitative properties for the equations of pre-stressed viscoelastic solids

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Title:	Some qualitative properties for the equations of pre-stressed viscoelastic solids
Author:	Quintanilla de Latorre, Ramón; Saccomandi, Giuseppe
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
Abstract:	In this paper, we study the qualitative behavior of a fifth order scalar partial differential equation arising in the framework of the small amplitude motion approximation for prestressed non-linear viscoelastic materials of first grade. We establish existence, uniqueness, regularity and exponential decay of the solutions. Moreover, we study the role of the various constitutive inequalities in the stability and instability of the solutions.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica -Viscoelasticity -Stability -Applied mathematics -Viscoelasticitat -Estabilitat -Matemàtica aplicada
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Document type:	Article - Published version Article
Published by:	Elsevier
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