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Propagation of singularities for Cauchy problems of semilinear thermoelastic systems with microtemperatures

✍ Scribed by Lin Yang; Lihong Huang

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
176 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The propagation of singularities of solutions to the Cauchy problem of a semilinear thermoelastic system with microtemperatures in one space variable is studied. First, by using a diagonalization argument of phase space analysis, the coupled thermoelastic system with microtemperatures will be decoupled microlocally. Second, using a classical bootstrap argument, the property of finite propagation speed of singularities for the semilinear thermoelastic system is obtained. Finally, it is also shown that the microlocal weak singularities propagate along the null bicharacteristics of the hyperbolic operators of the coupled semilinear system (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Cauchy problems for linear thermoelastic
Cauchy problems for linear thermoelastic systems of type III in one space variable
✍ Michael Reissig; Ya-Guang Wang πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 193 KB

The goal of the paper is to analyse properties of solutions for linear thermoelastic systems of type III in one space variable. Our approach does not use energy methods, it bases on a special diagonalization procedure which is di erent in di erent parts of the phase space. This procedure allows to d