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

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2014

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Kasimov, Aslan

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https://doi.org/10.1080/00036811.2013.801457
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Applicable Analysis : An International Journal. 2014, 93(5), pp. 911-935. ISSN 0003-6811. eISSN 1563-504X. Available under: doi: 10.1080/00036811.2013.801457

Zusammenfassung

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.

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510 Mathematik

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ISO 690KASIMOV, Aslan, Reinhard RACKE, Belkacem SAID-HOUARI, 2014. Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound. In: Applicable Analysis : An International Journal. 2014, 93(5), pp. 911-935. ISSN 0003-6811. eISSN 1563-504X. Available under: doi: 10.1080/00036811.2013.801457
BibTex
@article{Kasimov2014-05-04Globa-41672,
  year={2014},
  doi={10.1080/00036811.2013.801457},
  title={Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound},
  number={5},
  volume={93},
  issn={0003-6811},
  journal={Applicable Analysis : An International Journal},
  pages={911--935},
  author={Kasimov, Aslan and Racke, Reinhard and Said-Houari, Belkacem}
}
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