On a model in radiation hydrodynamics

Ducomet, Bernard; Feireisl, Eduard; Nečasová, Šárka

Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) no. 6, pp. 797-812.

We consider a simplified model arising in radiation hydrodynamics based on the Navier–Stokes–Fourier system describing the macroscopic fluid motion, and a transport equation modeling the propagation of radiative intensity. We establish global-in-time existence for the associated initial–boundary value problem in the framework of weak solutions.

Mots clés : Radiation hydrodynamics, Navier–Stokes–Fourier system, Weak solution

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