Low Mach number limit for a model of radiative flow

Abstract

We consider a simplified model of compressible Navier–Stokes–Fourier coupled to the radiative transfer equation introduced by Seaïd, Teleaga and al., and we study its low Mach number limit. We prove the convergence toward the incompressible Navier–Stokes system coupled to a system of two stationary transport equations.

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Correspondence to Šárka Nečasová.

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Ducomet, B., Nečasová, Š. Low Mach number limit for a model of radiative flow. J. Evol. Equ. 14, 357–385 (2014). https://doi.org/10.1007/s00028-014-0217-7

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Keywords

  • Radiation hydrodynamics
  • Navier–Stokes–Fourier system
  • weak solution
  • low Mach number
  • incompressible limit