Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound

Handle URI:
http://hdl.handle.net/10754/562803
Title:
Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound
Authors:
Kasimov, Aslan R.; Racke, Reinhard; Said-Houari, Belkacem
Abstract:
We consider the one-dimensional Cauchy problem in non-linear thermoelasticity with second sound, where the heat conduction is modelled by Cattaneo's law. After presenting decay estimates for solutions to the linearized problem, including refined estimates for data in weighted Lebesgue-spaces, we prove a global existence theorem for small data together with improved decay estimates, in particular for derivatives of the solutions. © 2013 Taylor & Francis.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program
Publisher:
Informa UK Limited
Journal:
Applicable Analysis
Issue Date:
4-Jun-2013
DOI:
10.1080/00036811.2013.801457
Type:
Article
ISSN:
00036811
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKasimov, Aslan R.en
dc.contributor.authorRacke, Reinharden
dc.contributor.authorSaid-Houari, Belkacemen
dc.date.accessioned2015-08-03T11:10:49Zen
dc.date.available2015-08-03T11:10:49Zen
dc.date.issued2013-06-04en
dc.identifier.issn00036811en
dc.identifier.doi10.1080/00036811.2013.801457en
dc.identifier.urihttp://hdl.handle.net/10754/562803en
dc.description.abstractWe consider the one-dimensional Cauchy problem in non-linear thermoelasticity with second sound, where the heat conduction is modelled by Cattaneo's law. After presenting decay estimates for solutions to the linearized problem, including refined estimates for data in weighted Lebesgue-spaces, we prove a global existence theorem for small data together with improved decay estimates, in particular for derivatives of the solutions. © 2013 Taylor & Francis.en
dc.publisherInforma UK Limiteden
dc.subjectdecay rateen
dc.subjectLyapunov functionalen
dc.subjectsecond sounden
dc.subjectthermoelasticityen
dc.titleGlobal existence and decay of solutions of the Cauchy problem in thermoelasticity with second sounden
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalApplicable Analysisen
dc.contributor.institutionDepartment of Mathematics and Statistics, University of Konstanz, 78457 Konstanz, Germanyen
kaust.authorKasimov, Aslan R.en
kaust.authorSaid-Houari, Belkacemen
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