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

doi:10.1007/s10473-020-0410-4

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (4): 1020-1034.doi: 10.1007/s10473-020-0410-4

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

廖勇凯

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

收稿日期:2019-04-24 修回日期:2019-12-20 出版日期:2020-08-25 发布日期:2020-08-21
作者简介:Yongkai LIAO,E-mail:liaoyongkai@126.com
基金资助:
The research was supported by National Postdoctoral Program for Innovative Talents of China (BX20180054).

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

Yongkai LIAO

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2019-04-24 Revised:2019-12-20 Online:2020-08-25 Published:2020-08-21
Supported by:
The research was supported by National Postdoctoral Program for Innovative Talents of China (BX20180054).

摘要/Abstract

摘要： 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].

关键词: large-time behavior, viscous radiative and reactive gas, Cauchy problem, large initial data

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].

Key words: large-time behavior, viscous radiative and reactive gas, Cauchy problem, large initial data

中图分类号:

35D05

廖勇凯. REMARKS ON THE CAUCHY PROBLEM OF THE ONE-DIMENSIONAL VISCOUS RADIATIVE AND REACTIVE GAS[J]. 数学物理学报(英文版), 2020, 40(4): 1020-1034.

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.

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

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

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