Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound
Type
ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionApplied Mathematics and Computational Science Program
Date
2013-06-04Online Publication Date
2013-06-04Print Publication Date
2014-05-04Permanent link to this record
http://hdl.handle.net/10754/562803
Metadata
Show full item recordAbstract
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.Citation
Kasimov, A., Racke, R., & Said-Houari, B. (2013). Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound. Applicable Analysis, 93(5), 911–935. doi:10.1080/00036811.2013.801457Publisher
Informa UK LimitedJournal
Applicable Analysisae974a485f413a2113503eed53cd6c53
10.1080/00036811.2013.801457