Articles

REMARKS ON THE CAUCHY PROBLEM OF THE ONE-DIMENSIONAL VISCOUS RADIATIVE AND REACTIVE GAS

  • Yongkai LIAO
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  • Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received date: 2019-04-24

  Revised date: 2019-12-20

  Online published: 2020-08-21

Supported by

The research was supported by National Postdoctoral Program for Innovative Talents of China (BX20180054).

Abstract

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].

Cite this article

Yongkai LIAO . REMARKS ON THE CAUCHY PROBLEM OF THE ONE-DIMENSIONAL VISCOUS RADIATIVE AND REACTIVE GAS[J]. Acta mathematica scientia, Series B, 2020 , 40(4) : 1020 -1034 . DOI: 10.1007/s10473-020-0410-4

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