This paper studies initial boundary value problems, including boundary damping, for the equations of a viscous, heat-conducting, one-dimensional ideal polytropic gas. The existence of a global strong (or classical) solution for the compressible Navier–Stokes system with temperature dependent heat conductivity is established. It can be regarded as a natural generalization of Nagasawa (J Differ Equ 65(1):49–67, 1986).

中文翻译：

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热导率随温度变化的可压缩纳维-斯托克斯系统的初始边值问题

本文研究了粘性、导热、一维理想多方气体方程的初始边值问题，包括边界阻尼。建立了具有与温度相关的热导率的可压缩纳维-斯托克斯系统的全局强（或经典）解的存在。它可以被视为 Nagasawa 的自然概括（J Differ Equ 65(1):49–67, 1986）。