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

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 mu(p) = 1 + p(alpha) and heat conductivity coefficient kappa(theta) = theta(beta) for all alpha is an element of E [0, infinity) and beta is an element of(0, +infinity). (C) 2017 Elsevier Inc. All rights reserved.