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

作     者：阮立志 张晶 

作者机构：Laboratory of Nonlinear Analysis Department of MathematicsCentral China Normal University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2007年第27卷第2期

页      面：347-360页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：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) the South-Central University For Nationalities Natural Science Foundation of China (YZY05008) 

主　　题：Hyperbolic-elliptic coupled system rarefaction wave asymptotic stability L^2-energy method 

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 rudiating 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 L^2-energy method.