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

Aslan Kasimov, Reinhard Racke, Belkacem Said-Houari

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)911-935
Number of pages25
JournalApplicable Analysis
Volume93
Issue number5
DOIs
Publication statusPublished - May 2014
Externally publishedYes

Keywords

  • decay rate
  • Lyapunov functional
  • second sound
  • thermoelasticity

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