论文标题

EULER-HMP $ _n $近似模型的非相关限制在辐射流体动力学中产生

Non-relativistic limit of the Euler-HMP$_N$ approximation model arising in radiation hydrodynamics

论文作者

Ma, Zhiting, Yong, Wen-An

论文摘要

在本文中,我们关注的是辐射流体动力学的一类可计算近似模型的非相关性极限。模型由可压缩的Euler方程组成,并与矩闭合近似与辐射传递方程相结合。它们是具有源术语的一阶部分微分方程。作为双曲线松弛系统,它们被证明满足W.-A提出的结构稳定性条件。 Yong(1999)。基于此,我们通过将能量法与形式的渐近分析相结合来验证非相关性极限。

In this paper, we are concerned with the non-relativistic limit of a class of computable approximation models for radiation hydrodynamics. The models consist of the compressible Euler equations coupled with moment closure approximations to the radiative transfer equation. They are first-order partial differential equations with source terms. As hyperbolic relaxation systems, they are showed to satisfy the structural stability condition proposed by W.-A. Yong (1999). Base on this, we verify the non-relativistic limit by combining an energy method with a formal asymptotic analysis.

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