Nonlinear stability of combination of viscous contact wave with rarefaction waves for a 1Dradiation hydrodynamics model
Nonlinear stability of combination of viscous contact wave with rarefaction waves for a 1Dradiation hydrodynamics model
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DOI：
10.3934/dcdsb.2012.17.1075
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发表时间：
2012
影响因子：
1.2
通讯作者：
Feng Xie
中科院分区：
文献类型：
--
作者：
Feng Xie
本文研究了可压缩辐射气体模型柯西问题解的大时间性态，其中远场态是给定的。该辐射气体模型由一维气体动力学系统与辐射通量的椭圆方程耦合来表示。当可压缩Euler方程组的相应Riemann问题存在一个接触波和两个稀疏波的解时，证明了对于这样的辐射气体模型，只要组合波的强度适当小，粘性接触波和稀疏波的组合是渐近稳定的.用区域分解技术和初等能量方法证明了这一结果。
In this paper we consider the large-time behavior of solutions for the Cauchy problem to a compressible radiating gas model, where the far field states are prescribed. This radiating gas model is represented by the one-dimensional system of gas dynamics coupled with an elliptic equation for radiation flux. When the corresponding Riemann problem for the compressible Euler system admits a solution consisting of a contact wave and two rarefaction waves, it is proved that for such a radiating gas model, the combination of viscous contact wave with rarefaction waves is asymptotically stable provided that the strength of combination wave is suitably small. This result is proved by a domain decomposition technique and elementary energy methods.