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

Handle URI:
http://hdl.handle.net/10754/563130
Title:
Decay property of regularity-loss type of solutions in elastic solids with voids
Authors:
Said-Houari, Belkacem; Messaoudi, Salim A.
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Informa UK Limited
Journal:
Applicable Analysis
Issue Date:
Dec-2013
DOI:
10.1080/00036811.2012.742188
Type:
Article
ISSN:
00036811
Sponsors:
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.
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSaid-Houari, Belkacemen
dc.contributor.authorMessaoudi, Salim A.en
dc.date.accessioned2015-08-03T11:36:28Zen
dc.date.available2015-08-03T11:36:28Zen
dc.date.issued2013-12en
dc.identifier.issn00036811en
dc.identifier.doi10.1080/00036811.2012.742188en
dc.identifier.urihttp://hdl.handle.net/10754/563130en
dc.description.abstractIn 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.en
dc.description.sponsorshipThis 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.en
dc.publisherInforma UK Limiteden
dc.subjectdecay rateen
dc.subjectheat conductionen
dc.subjectthermoelasticityen
dc.titleDecay property of regularity-loss type of solutions in elastic solids with voidsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalApplicable Analysisen
dc.contributor.institutionDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 3126, Saudi Arabiaen
kaust.authorSaid-Houari, Belkacemen
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