Global strong solution to compressible Navier-Stokes equations with density dependent viscosity and temperature dependent heat conductivity

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• 作者：Ran Duan^a ; Ai Guo^b ; ^{guoai@scut.edu.cn} ; Changjiang Zhu^b
• 关键词：35L65 ; 35Q30 ; 76N10
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：262
• 期：8
• 页码：4314-4335
• 全文大小：305 K
• 卷排序：262

文摘

We obtain existence and uniqueness of global strong solution to one-dimensional compressible Navier–Stokes equations for ideal polytropic gas flow, with density dependent viscosity and temperature dependent heat conductivity under stress-free and thermally insulated boundary conditions. Here we assume viscosity coefficient μ(ρ)=1+ραμ(ρ)=1+ρα and heat conductivity coefficient κ(θ)=θβκ(θ)=θβ for all α∈[0,∞)α∈[0,∞) and β∈(0,+∞)β∈(0,+∞).