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

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

数学物理学报(英文版)

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

阮立志; 张晶

华中师范大学数学系, 武汉 430079

收稿日期:2004-12-05 修回日期:1900-01-01 出版日期:2007-04-20 发布日期:2007-04-20
通讯作者: 阮立志
基金资助:
The research was supported by three grants from the Key Project of the Natural Science Foundation of China (10431060), the Key Project of
Chinese Ministry of Education (104128), and the South-Central
University For Nationalities Natural Science Foundation of China (YZY05008)

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

摘要/Abstract

摘要：

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.

关键词: Hyperbolic-elliptic coupled system, rarefaction wave, asymptotic stability, L²-energy method

Abstract:

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

中图分类号:

35M10

阮立志; 张晶. ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS[J]. 数学物理学报(英文版), 2007, 27(2): 347-360.

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

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

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