ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS

doi:10.1016/S0252-9602(07)60035-6

Acta mathematica scientia,Series B

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ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS

Ruan Lizhi; Zhang Jing

Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China
Department of Applied Mathematics, South--Central University for Nationalities, Wuhan 430074, China

Received:2004-12-05 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
Contact: Ruan Lizhi

Abstract

Abstract:

In this article, authors study the Cauch problem for a model of hyperbolic-elliptic coupled system derived from the one--dimensional system of the radiating gas. By considering the initial data as a small disturbances of rarefaction wave of inviscid Burgers equation, the global existence of the solution to the corresponding Cauchy problem and asymptotic stability of
rarefaction wave is proved. The analysis is based on a priori estimates and L²-energy method.

Key words: Hyperbolic-elliptic coupled system, rarefaction wave, asymptotic stability, L²-energy method

CLC Number:

35M10

Ruan Lizhi; Zhang Jing. ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS[J].Acta mathematica scientia,Series B, 2007, 27(2): 347-360.

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ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS

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