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Some qualitative properties for the equations of pre-stressed viscoelastic solids
Quintanilla de Latorre, Ramón; Saccomandi, Giuseppe
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
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.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
Viscoelasticity
Stability
Applied mathematics
Viscoelasticitat
Estabilitat
Matemàtica aplicada
info:eu-repo/semantics/publishedVersion
Article
Elsevier
         

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