In this paper we study the asymptotic equivalence of a general linear system of 1-dimensional conservation laws and the corresponding relaxation model proposed by S. Jin and Z. Xin (1995, Comm. Pure Appl. Math. 48, 235 277) in the limit of small relaxation rate. The main interest is this asymptotic
β¦ LIBER β¦
Hyperbolic Systems with Relaxation: Characterization of Stiff Well-Posedness and Asymptotic Expansions
β Scribed by Jens Lorenz; H.Joachim Schroll
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 260 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0022-247X
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## Abstract In this article, we study the long time behavior of a parabolicβhyperbolic system arising from the theory of phase transitions. This system consists of a parabolic equation governing the (relative) temperature which is nonlinearly coupled with a weakly damped semilinear hyperbolic equat