Decay property of regularity-loss type of solutions in elastic solids with voids

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Applicable Analysis, ISSN: 0003-6811, Vol: 92, Issue: 12, Page: 2487-2507

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Said-Houari, Belkacem; Messaoudi, Salim A.
Informa UK Limited; Taylor & Francis
Mathematics; decay rate; heat conduction; thermoelasticity
article description
In this article, we consider two porous systems of nonclassical thermoelasticity in the whole real line. We discuss the long-time behaviour of the solutions in the presence of a strong damping acting, together with the heat effect, on the elastic equation and establish several decay results. Those decay results are shown to be very slow and of regularity-loss type. Some improvements of the decay rates have also been given, provided that the initial data belong to some weighted spaces. © 2013 Copyright Taylor and Francis Group, LLC.