Spatial behaviour in dynamical thermoelasticity backward in time for porous media

Details Spatial behaviour in dynamical thermoelasticity backward in time for porous media Spatial behaviour in dynamical thermoelasticity backward in time for porous media

2003-03-27

arxiv.org/abs/math-ph/0303065v1

Physics

Mathematical Physics

12 pages, accepted by Journal of Thermal Stresses

Scientific paper

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.

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