Nonlinear Well-Posedness and Rates of Decay in Thermoelasticity with Second Sound
| Type of Publication: | Preprint |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-22782 |
| Author: | Racke, Reinhard; Wang, Ya-Guang |
| Year of publication: | 2007 |
| Series: | Konstanzer Schriften in Mathematik und Informatik ; 223 |
| Summary: |
We consider the Cauchy problem in nonlinear thermoelasticity with second sound in one space dimension. Due to Cattaneo's law, replacing Fourier's law for heat conduction, the system is hyperbolic. We first investigate the local well-posedness as a strictly hyperbolic system, and then discuss the relation between energy estimates for non-symmetric hyperbolic systems and well-posedness. For the global small solution we describe the long time behavior and obtain decay rates of the L2-norm.
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| Subject (DDC): | 510 Mathematics |
| Link to License: | Attribution-NonCommercial-NoDerivs 2.0 Generic |
| Bibliography of Konstanz: | Yes |
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RACKE, Reinhard, Ya-Guang WANG, 2007. Nonlinear Well-Posedness and Rates of Decay in Thermoelasticity with Second Sound
@unpublished{Racke2007Nonli-687, title={Nonlinear Well-Posedness and Rates of Decay in Thermoelasticity with Second Sound}, year={2007}, author={Racke, Reinhard and Wang, Ya-Guang} }
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