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

Handle URI:
http://hdl.handle.net/10754/563280
Title:
Decay property of regularity-loss type for solutions in elastic solids with voids
Authors:
Djouamai, Leila; Said-Houari, Belkacem
Abstract:
In this paper, we consider the Cauchy problem for a system of elastic solids with voids. First, we show that a linear porous dissipation leads to decay rates of regularity-loss type of the solution. We show some decay estimates for initial data in Hs(R)∩L1(R). Furthermore, we prove that by restricting the initial data to be in Hs(R)∩L1,γ(R) and γ. ∈. [0, 1], we can derive faster decay estimates of the solution. Second, we show that by adding a viscoelastic damping term, then we gain the regularity of the solution and obtain the optimal decay rate. © 2013 Elsevier Ltd.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Elsevier BV
Journal:
Journal of Mathematical Analysis and Applications
Issue Date:
Jan-2014
DOI:
10.1016/j.jmaa.2013.07.049
Type:
Article
ISSN:
0022247X
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorDjouamai, Leilaen
dc.contributor.authorSaid-Houari, Belkacemen
dc.date.accessioned2015-08-03T11:44:45Zen
dc.date.available2015-08-03T11:44:45Zen
dc.date.issued2014-01en
dc.identifier.issn0022247Xen
dc.identifier.doi10.1016/j.jmaa.2013.07.049en
dc.identifier.urihttp://hdl.handle.net/10754/563280en
dc.description.abstractIn this paper, we consider the Cauchy problem for a system of elastic solids with voids. First, we show that a linear porous dissipation leads to decay rates of regularity-loss type of the solution. We show some decay estimates for initial data in Hs(R)∩L1(R). Furthermore, we prove that by restricting the initial data to be in Hs(R)∩L1,γ(R) and γ. ∈. [0, 1], we can derive faster decay estimates of the solution. Second, we show that by adding a viscoelastic damping term, then we gain the regularity of the solution and obtain the optimal decay rate. © 2013 Elsevier Ltd.en
dc.publisherElsevier BVen
dc.subjectDecay rateen
dc.subjectEnergy methoden
dc.subjectRegularity gainen
dc.subjectRegularity-lossen
dc.subjectStabilityen
dc.titleDecay property of regularity-loss type for solutions in elastic solids with voidsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalJournal of Mathematical Analysis and Applicationsen
dc.contributor.institutionApplied Math Lab, University Badji Mokhtar-Annaba, P.O. Box 12, Annaba 23000, Algeriaen
dc.contributor.institutionKhemis Miliana University, Road of Theniat El Had, 44225, Algeriaen
kaust.authorSaid-Houari, Belkacemen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.