一维可压缩黏性辐射反应气体方程组强解的整体存在性  

Global existence of strong solutions to 1D compressible viscous radiative and reactive gas

作　　者：帅清清 韩小敏 王滕 SHUAI Qingqing;HAN Xiaomin;WANG Teng(Department of Mathematics,Nanchang University,Nanchang 330031,China;School of Mathematics and Information Sciences Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌大学数学系,江西南昌330031 [2]南昌航空大学数学与信息科学学院,江西南昌330063

出　　处：《南昌大学学报（理科版）》2022年第3期295-302,共8页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金面上项目(11971217);江西省主要学科学术和技术带头人培养计划-青年人才(20212BCJ23027);江西省青年科学基金重点项目(20202ACBL211002)。

摘　　要：研究一维可压缩黏性辐射反应气体方程组强解的整体存在性问题。对于热传导系数为温度的幂函数的情形,得到了关键的密度和温度的上下界估计,证明了一维全空间上柯西问题大初值强解的整体存在性。This paper considered the global existence of strong solutions to the one dimensional compressible viscous radiative and reactive gas.For the case that the heat conductivity is proportional to a positive power of the temperature,the key estimates on the lower and upper bounds of both the density and the temperature were obtained,and thus the global existence of strong solutions with large initial data was established.

关 键 词：可压缩黏性辐射反应气体 柯西问题 整体强解 

分 类 号：O175.2[理学—数学]