JournalsaihpcVol. 28, No. 6pp. 797–812

On a model in radiation hydrodynamics

  • Bernard Ducomet

    CEA/DAM/DIF, F-91297 Arpajon, France

  • Eduard Feireisl

    Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

  • Šárka Nečasová

    Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic
On a model in radiation hydrodynamics cover
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Abstract

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.

Cite this article

Bernard Ducomet, Eduard Feireisl, Šárka Nečasová, On a model in radiation hydrodynamics. Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 6, pp. 797–812

DOI 10.1016/J.ANIHPC.2011.06.002