| Contents |
| We consider a simplified model arising in radiation hydrodynamics which is based on the barotropic Navier-Stokes system describing the macroscopic fluid motion,
and the so-called P1-approximation of the transport equation modeling the propagation of radiative intensity.
We establish global-in-time existence of strong solutions for the associated Cauchy problem when initial data are close to a stable radiative equilibrium, and local existence for large data with no vacuum.
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We all also discuss the low mach number limit and various diffusive asymptotics.
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All our results are stated in the so-called critical Besov spaces. |
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