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Spatial behaviour in dynamical thermoelasticity backward in time for porous media

Abstract

The aim of this paper is to study the spatial behaviour of the solutions to the boundary-final value problems associated with the linear theory of elastic materials with voids. More precisely the present study is devoted to porous materials with a memory effect for the intrinsic equilibrated body forces. An appropriate time-weighted volume measure is associated with the backward in time thermoelastic processes. Then, a first-order partial differential inequality in terms of such measure is established and further is shown how it implies the spatial exponential decay of the thermoelastic process in question.Comment: 12 pages, accepted by Journal of Thermal Stresse

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