On the decay of solutions in nonsimple elastic solids with memory

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Title:	On the decay of solutions in nonsimple elastic solids with memory
Author:	Pata, Vittorino; Quintanilla de Latorre, Ramón
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
Abstract:	The decay of solutions in nonsimple elasticity with memory is addressed, analyzing how the decay rate is influenced by the different dissipation mechanisms appearing in the equations. In particular, a first order dissipation is shown to guarantee the asymptotic stability of the related solution semigroup, but is not strong enough to entail exponential stability. The latter occurs for a dissipation mechanism of the second order, that is, the same order as the one of the leading operator.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica -Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -Stability--Mathematical models -Elastic solids -Sòlids elàstics -Matemàtica aplicada
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Document type:	Article - Published version Article
Published by:	Elsevier
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