Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field

X. Blanc (1) , B. Ducomet (2) , S. Nečasová (3)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 DAM/DIF - DAM Île-de-France
3 Mathematical Institute [Praha] - Academy of Sciences

We study the Cauchy problem for a system of equations corresponding to a singular limit of radiative hydrody-namics, namely the 3D radiative compressible Euler system coupled to an electromagnetic field through the MHD approximation. Assuming the presence of damping together with suitable smallness hypotheses for the data, we prove that this problem admits a unique global smooth solution.

Mots clés: compressible; Euler; magnetohydrodynamics; radiation

Domaines: Equations aux dérivées partielles [math.AP]; Analyse classique [math.CA]

X. Blanc, B. Ducomet, S. Nečasová. Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field. Topological Methods in Nonlinear Analysis, In press. ⟨hal-01695611v1⟩