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Decay estimates for a thermoelastic system in waveguides

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2010

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Wang, Ya-Guang

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-126790
DOI (zitierfähiger Link)
https://doi.org/10.1016/j.jde.2010.01.001
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Journal of Differential Equations. 2010, 248(9), pp. 2368-2398. Available under: doi: 10.1016/j.jde.2010.01.001

Zusammenfassung

We investigate the linear system of thermoelasticity, consisting of an elasticity equation and a heat conduction equation, in a waveguide, with certain boundary conditions. We consider the cases of homogeneous and inhomogeneous systems and prove decay estimates of the solutions, which are a key ingredient to showing the global existence of solutions to non-linear thermoelasticity, after having decomposed the solutions into various parts. We also give a simplified proof to the representation of the solutions to the Cauchy problem of thermoelasticity.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Thermoelastic system, Decay estimates, Initial boundary value problems, Waveguides

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ISO 690DREHER, Michael, Ya-Guang WANG, 2010. Decay estimates for a thermoelastic system in waveguides. In: Journal of Differential Equations. 2010, 248(9), pp. 2368-2398. Available under: doi: 10.1016/j.jde.2010.01.001
BibTex
@article{Dreher2010Decay-773,
  year={2010},
  doi={10.1016/j.jde.2010.01.001},
  title={Decay estimates for a thermoelastic system in waveguides},
  number={9},
  volume={248},
  journal={Journal of Differential Equations},
  pages={2368--2398},
  author={Dreher, Michael and Wang, Ya-Guang}
}
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