Global existence and decay of solutions of a nonlinear system of wave equations

Handle URI:
http://hdl.handle.net/10754/577063
Title:
Global existence and decay of solutions of a nonlinear system of wave equations
Authors:
Said-Houari, Belkacem
Abstract:
This work is concerned with a system of two wave equations with nonlinear damping and source terms acting in both equations. Under some restrictions on the nonlinearity of the damping and the source terms, we show that our problem has a unique local solution. Also, we prove that, for some restrictions on the initial data, the rate of decay of the total energy is exponential or polynomial depending on the exponents of the damping terms in both equations.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Informa UK Limited
Journal:
Applicable Analysis
Issue Date:
Mar-2012
DOI:
10.1080/00036811.2010.549475
Type:
Article
ISSN:
0003-6811; 1563-504X
Sponsors:
The author was partially supported by MIRA 2007 project of the Region Rhone-Alpes. This author wishes to thank Universite de Savoie of Chambery for its kind hospitality. Moreover, the author wishes to thank the referees for their useful remarks and their careful reading of the proofs presented in this article.
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.date.accessioned2015-09-10T09:28:10Zen
dc.date.available2015-09-10T09:28:10Zen
dc.date.issued2012-03en
dc.identifier.issn0003-6811en
dc.identifier.issn1563-504Xen
dc.identifier.doi10.1080/00036811.2010.549475en
dc.identifier.urihttp://hdl.handle.net/10754/577063en
dc.description.abstractThis work is concerned with a system of two wave equations with nonlinear damping and source terms acting in both equations. Under some restrictions on the nonlinearity of the damping and the source terms, we show that our problem has a unique local solution. Also, we prove that, for some restrictions on the initial data, the rate of decay of the total energy is exponential or polynomial depending on the exponents of the damping terms in both equations.en
dc.description.sponsorshipThe author was partially supported by MIRA 2007 project of the Region Rhone-Alpes. This author wishes to thank Universite de Savoie of Chambery for its kind hospitality. Moreover, the author wishes to thank the referees for their useful remarks and their careful reading of the proofs presented in this article.en
dc.publisherInforma UK Limiteden
dc.titleGlobal existence and decay of solutions of a nonlinear system of wave equationsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalApplicable Analysisen
dc.contributor.institutionUniv Savoie, Math Lab, F-73376 Le Bourget Du Lac, Franceen
kaust.authorSaid-Houari, Belkacemen
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