This paper is concerned with the large-time behavior of solutions to the Cauchy problem of a one-dimensional viscous radiative and reactive gas. Based on the elaborate energy estimates, we develop a new approach to derive the upper bound of the absolute temperature by avoiding the use of auxiliary functions Z ( t ) and W ( t ) introduced by Liao and Zhao [J. Differential Equations, 2018, 265 (5): 2076–2120]. Our results also improve upon the results obtained in Liao and Zhao [J. Differential Equations, 2018, 265 (5): 2076–2120].

中文翻译：

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一维粘性辐射反应气体柯西问题的注解

本文关注的是一维粘性辐射和反应气体柯西问题解的长时间行为。基于详细的能量估计，我们开发了一种新方法，通过避免使用 Liao 和 Zhao 引入的辅助函数 Z ( t ) 和 W ( t ) 来推导绝对温度的上限 [J. 微分方程, 2018, 265 (5): 2076–2120]。我们的结果也改进了在 Liao 和 Zhao 中获得的结果 [J. 微分方程, 2018, 265 (5): 2076–2120]。