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Compressible Navier-Stokes equations with temperature dependent heat conductivity

Compressible Navier-Stokes equations with temperature dependent heat conductivity

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 by the power law of Chapman-Enskog.The results reported in this article are valid for an initial boundary value …