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

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.