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

Belkacem Said-Houari; Salim A. Messaoudi

doi:10.1080/00036811.2012.742188

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

Belkacem Said-Houari, Salim A. Messaoudi

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	2487-2507
Number of pages	21
Journal	Applicable Analysis
Volume	92
Issue number	12
DOIs	https://doi.org/10.1080/00036811.2012.742188
State	Published - Dec 2013

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was finalized during a short visit of the first author to KFUPM. This author thanks KFUPM for its kind hospitality. Both the authors thank KFUPM and KAUST for their support. This work has been partially funded by KFUPM under Project # SB 101008.

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2012.742188

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abstract = "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. {\textcopyright} 2013 Copyright Taylor and Francis Group, LLC.",

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AU - Messaoudi, Salim A.

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N2 - 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.

AB - 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.

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DO - 10.1080/00036811.2012.742188

M3 - Article

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JO - Applicable Analysis

JF - Applicable Analysis

IS - 12

ER -

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

Abstract

Bibliographical note

ASJC Scopus subject areas

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