Local well-posedness and blow-up criterion for a compressible Navier-Stokes-Fourier-\(P1\) approximate model arising in radiation hydrodynamics. (English) Zbl 1387.35451
Summary: We establish a local well-posedness and a blow-up criterion of strong solutions for the compressible Navier-Stokes-Fourier-\(P1\) 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.
MSC:
| 35Q30 | Navier-Stokes equations |
| 35Q70 | PDEs in connection with mechanics of particles and systems of particles |
| 35B25 | Singular perturbations in context of PDEs |
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