Shock Profiles for Non Equilibrium Radiating Gases

Chunjin Lin (1) , Jean-François Coulombel (1) , Thierry Goudon (1)

1 SIMPAF - SImulations and Modeling for PArticles and Fluids

We study a model of radiating gases that describes the interaction of an inviscid gas with photons. We show the existence of smooth traveling waves called 'shock profiles', when the strength of the shock is small. Moreover, we prove that the regularity of the traveling wave increases when the strength of the shock tends to zero.

Mots clés: Radiative Transfer; Shock Profile

Domaines: Equations aux dérivées partielles [math.AP]

Chunjin Lin, Jean-François Coulombel, Thierry Goudon. Shock Profiles for Non Equilibrium Radiating Gases. Physica D: Nonlinear Phenomena, 2006, 218 (1), pp.83-94. ⟨10.1016/j.physd.2006.04.012⟩. ⟨hal-00019915⟩