Abstract In this paper, we consider the asymptotic stability of rarefaction wave to the equilibrium diffusion limit equations without viscosity from radiation hydrodynamic. The present pressure includes a fourth order term about the absolute temperature from radiation effect as well as the ideal polytropic part, which brings the main difficulty to prove the asymptotic stability of the rarefaction wave. To overcome it, we impose an additional restriction condition on the density and the temperature at the far field, see (1.14) . This condition is sufficient to achieve the a priori estimates of the solutions.

中文翻译：

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稀疏波对辐射流体动力学极限模型的渐近稳定性

摘要 在本文中，我们从辐射流体力学的角度考虑了稀疏波对无粘性的平衡扩散极限方程的渐近稳定性。当前压力包括辐射效应绝对温度的四阶项以及理想的多方部分，这给证明稀疏波的渐近稳定性带来了主要困难。为了克服它，我们对远场的密度和温度施加了额外的限制条件，参见（1.14）。该条件足以实现解的先验估计。