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Diffusion limits in a model of radiative flow

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Abstract

We consider asymptotic regimes for a simplified model of compressible Navier–Stokes-Fourier system coupled to the radiation, when the radiative intensity is driven either to equilibrium or to non-equilibrium diffusion limit, depending the scaling performed, and we study the convergence of the system toward the aforementioned limits.

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Authors and Affiliations

  1. CEA/DAM/DIF, 91297 , Arpajon, France

    Bernard Ducomet

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

    Šárka Nečasová

Authors
  1. Bernard Ducomet
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  2. Šárka Nečasová
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Corresponding author

Correspondence to Šárka Nečasová.

Additional information

The research of Š. N. acknowledges the support of the GAČR (Czech Science Foundation) project P201-13-00522S in the general framework of RVO: 67985840. Part of article was written during her stay at CEA. She would like to thank to Prof. Ducomet for his hospitality.

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Ducomet, B., Nečasová, Š. Diffusion limits in a model of radiative flow. Ann Univ Ferrara 61, 17–59 (2015). https://doi.org/10.1007/s11565-014-0214-3

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  • DOI: https://doi.org/10.1007/s11565-014-0214-3

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