Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes

Jean-François Coulombel (1) , Thierry Goudon (1) , Pauline Lafitte (1) , Chunjin Lin (2)

1 SIMPAF - SImulations and Modeling for PArticles and Fluids
2 College of Computer and Information Engineering [Hohai]

We consider a model for the interaction of a gas with photons. In a former article, smooth traveling wave solutions called shock profiles have been constructed under a suitable smallness assumption between the asymptotic states. In this work, we construct piecewise smooth traveling wave solutions that connect two asymptotic states with a large jump. In particular, we give a rigorous mathematical justification to the formation of the so-called Zeldovich spike.

Mots clés: Radiating gases; Traveling waves; Zeldovich spikes

Domaines: Equations aux dérivées partielles [math.AP]

Jean-François Coulombel, Thierry Goudon, Pauline Lafitte, Chunjin Lin. Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes. Shock Waves, 2012, 22 (3), pp.181-197. ⟨10.1007/s00193-012-0368-9⟩. ⟨hal-00593491⟩