Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes - Archive ouverte HAL
Article Dans Une Revue Shock Waves Année : 2012

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

Résumé

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.
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hal-00593491 , version 1 (16-05-2011)

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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⟩
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