Article ID Journal Published Year Pages File Type
4620523 Journal of Mathematical Analysis and Applications 2009 13 Pages PDF
Abstract

In this paper we study the asymptotic behavior and the analyticity of the solutions of the one-dimensional porous-elasticity problem with thermal effect. Our main result is to prove the lack of exponential stability in case of the porous-elasticity with thermal effect when viscoelasticity is present. We prove the analyticity of the problem when a porous viscosity is present. We conclude by showing the impossibility of localization in time of the solutions in the isothermal case.

Related Topics
Physical Sciences and Engineering Mathematics Analysis