Local well‐posedness and blow‐up criterion for a compressible Navier‐Stokes‐Fourier‐ PP 1 approximate model arising in radiation hydrodynamics

摘要

> We establish a local well‐posedness and a blow‐up criterion of strong solutions for the compressible Navier‐Stokes‐Fourier‐ P 1 approximate model arising in radiation hydrodynamics. For the local well‐posedness result, we do not need the assumption on the positivity of the initial density and it may vanish in an open subset of the domain.