Global strong solutions to the 1D full compressible Navier--Stokes equations with temperature-dependent coefficients and vacuum

We study the initial--boundary value problem for the one-dimensional full compressible Navier--Stokes system whose viscosity and heat conductivity are given by $μ(θ)=μθ^α$ and $κ(θ)=κθ^β$, respectively. The initial density is nonnegative and is allowed to vanish. For $α>2$ and $β>2α+4$, we prove the