Decay estimates for a thermoelastic system in waveguides

Type of Publication: Journal article
Author: Dreher, Michael; Wang, Ya-Guang
Year of publication: 2010
Published in: Journal of Differential Equations ; 248 (2010), 9. - pp. 2368-2398
DOI (citable link): https://dx.doi.org/10.1016/j.jde.2010.01.001
Summary:
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.
MSC Classification: 74F05; 35G15; 35B05
Subject (DDC): 510 Mathematics
Keywords: Thermoelastic system, Decay estimates, Initial boundary value problems, Waveguides
Bibliography of Konstanz: Yes

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DREHER, Michael, Ya-Guang WANG, 2010. Decay estimates for a thermoelastic system in waveguides. In: Journal of Differential Equations. 248(9), pp. 2368-2398. Available under: doi: 10.1016/j.jde.2010.01.001

@article{Dreher2010Decay-773, title={Decay estimates for a thermoelastic system in waveguides}, year={2010}, doi={10.1016/j.jde.2010.01.001}, number={9}, volume={248}, journal={Journal of Differential Equations}, pages={2368--2398}, author={Dreher, Michael and Wang, Ya-Guang} }

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