On some singular limits in damped radiation hydrodynamics

Xavier Blanc (1) , B Ducomet (2) , S Nečasová (3)

1 LJLL - Laboratoire Jacques-Louis Lions
2 DAM/DIF - DAM Île-de-France
3 Mathematical Institute [Praha] - Academy of Sciences

We consider the Cauchy problem for the 3D Euler system with damping coupled to radiation through two singular limits. Assuming suitable smallness hypotheses for the data, we prove that each of these two problems admits a unique smooth solution.

Mots clés: compressible; Euler; damping; radiation

Domaines: Equations aux dérivées partielles [math.AP]

Xavier Blanc, B Ducomet, S Nečasová. On some singular limits in damped radiation hydrodynamics. Journal of Hyperbolic Differential Equations, 2016, ⟨10.1142/S0219891616500089⟩. ⟨hal-01143250⟩