Initial and initial boundary value problems for the Navier-Stokes equations with temperature-dependent transport coefficients and large data

We consider initial and initial boundary value problems for the one-dimensional compressible Navier--Stokes equations of an ideal polytropic gas in unbounded domains. The viscosity and heat conductivity are proportional to $θ^α$ and $θ^β$, respectively. For every fixed $β\geq0$ and sufficiently smal