Nonlinear Well-Posedness and Rates of Decay in Thermoelasticity with Second Sound

Publikationstyp: Preprint
URI (zitierfähiger Link): http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-22782
Autor/innen: Racke, Reinhard; Wang, Ya-Guang
Erscheinungsjahr: 2007
Schriftenreihe: Konstanzer Schriften in Mathematik und Informatik ; 223
Zusammenfassung:
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.
Fachgebiet (DDC): 510 Mathematik
Link zur Lizenz: Deposit-Lizenz
Universitätsbibliographie: Ja

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RACKE, Reinhard, Ya-Guang WANG, 2007. Nonlinear Well-Posedness and Rates of Decay in Thermoelasticity with Second Sound

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