Abstract
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+ρα and heat conductivity coefficient κ(θ)=θβ for all α∈[0,∞) and β∈(0,+∞).
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