In one-dimensional unbounded domains, we prove the global existence of strong solutions to the compressible Navier–Stokes system for a viscous radiative gas, when the viscosity μ is a constant and the heat conductivity κ is a power function of the temperature θ according to $\kappa (\theta )=\tilde{\kappa }{\theta }^{\beta }$, with β ≥ 0 and $\tilde{\kappa }>0$. Our result generalizes Zhao and Liao’s result [Y. K. Liao and H. J. Zhao, J. Differ. Equations 265, 2076–2120 (2018)] to the degenerate and nonlinear heat conductivity. In particular, the constant coefficients’ case (μ and κ are positive constants) is also covered in our theorem.

中文翻译：

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在一维无界域中具有简并的温度相关热导率的粘性辐射气体的全局强大解决方案

在一维无界域，我们证明强解到可压缩的Navier-Stokes系统的粘性辐射气体，当粘度的整体存在μ是一个常数和热导率κ是温度的一个幂函数θ根据$\kappa （\theta ）=\tilde{\kappa }{\theta }^{\beta }$与β ≥0和$\tilde{\kappa }>0$。我们的结果概括了赵和廖的结果[廖永康和赵洪杰，J。Differ。方程265，二〇七六年至2120年（2018）]，将简并和非线性热传导性。特别地，在我们的定理中也涵盖了常数系数的情况（μ和κ为正常数）。