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

Aslan R. Kasimov, Reinhard Racke, Belkacem Said-Houari

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)911-935
Number of pages25
JournalApplicable Analysis
Volume93
Issue number5
DOIs
StatePublished - Jun 4 2013

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound'. Together they form a unique fingerprint.

Cite this