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,+∞).