On the decay of solutions for porous-elastic systems with history

In this paper we study the asymptotic behavior to an one-dimensional porous-elasticity problem with history. We show the lack of exponential stability when the porous dissipation or the elastic dissipation is absent. And we show the lack of analyticity and exponential stability when the porous visco...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 379; no. 2; pp. 682 - 705
Main Authors Pamplona, Paulo Xavier, Muñoz Rivera, Jaime E., Quintanilla, Ramón
Format Journal Article Publication
LanguageEnglish
Published Amsterdam Elsevier Inc 15.07.2011
Elsevier
Subjects
Analyticity
Applied mathematics
Exact sciences and technology
Exponential decay
Matemàtica aplicada
Matemàtica aplicada a les ciències
Matemàtiques i estadística
Mathematical analysis
Mathematical models
Mathematics
Models matemàtics
Porositat
Porosity
Porous-elasticity with history
Sciences and techniques of general use
Àrees temàtiques de la UPC
Analyticity
Porous-elasticity with history
Exponential decay
Viscosity
One-dimensional calculations
Mathematical analysis
Asymptotic behavior
Solution decay
Elasticity
Numerical stability
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Summary:In this paper we study the asymptotic behavior to an one-dimensional porous-elasticity problem with history. We show the lack of exponential stability when the porous dissipation or the elastic dissipation is absent. And we show the lack of analyticity and exponential stability when the porous viscosity and the elastic dissipation are present.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2011.01.045