Compressible Navier-Stokes equations with temperature dependent heat conductivity
Compressible Navier-Stokes equations with temperature dependent heat conductivity
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DOI：
10.4310/cms.2015.v13.n2.a7
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发表时间：
2015
影响因子：
1
通讯作者：
R. Pan;Weizhe Zhang
中科院分区：
文献类型：
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作者：
R. Pan;Weizhe Zhang
摘要。在Chapman-Enskog的幂律中，证明了热传导与温度有关的粘性理想多向气体流的一维可压缩Navier-Stokes系统整体强解的存在性和唯一性。本文的结果适用于具有光滑初始数据、温度和密度为正且没有小假设的无滑移和隔热边界的初边值问题。
Abstract. We prove the existence and uniqueness of global strong solutions to the one dimensional, compressible Navier-Stokes system for the viscous and heat conducting ideal polytropic gas flow, when heat conductivity depends on temperature in power law of Chapman-Enskog. The results reported in this article is valid for initial boundary value problem with non-slip and heat insulated boundary along with smooth initial data with positive temperature and density without smallness assumption.