Local well-posedness and blow-up criterion for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics

摘要

In this paper we prove the local well-posedness and a blow-up criterion of strong solutions for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics, provided the initial data satisfy a natural compatibility condition. We do not assume the positivity of initial density, itmay vanish in an open subset (vacuum) of Ω := T~3.