Stochastic isentropic Euler equations

Florent Berthelin (1, 2) , Julien Vovelle (3)

1 COFFEE - COmplex Flows For Energy and Environment
2 LJAD - Laboratoire Jean Alexandre Dieudonné
3 MMCS - Modélisation mathématique, calcul scientifique

We study the stochastically forced system of isentropic Euler equations of gas dynamics with a γ-law for the pressure. We show the existence of martingale weak entropy solutions; we also discuss the existence and characterization of invariant measures in the concluding section.

Mots clés: kinetic formulation; stochastic partial differential equations; entropy solutions; isentropic Euler equations

Domaines: Equations aux dérivées partielles [math.AP]

Florent Berthelin, Julien Vovelle. Stochastic isentropic Euler equations. Annales Scientifiques de l'École Normale Supérieure, 2019, 52 (1), pp.181-254. ⟨10.24033/asens.2386⟩. ⟨hal-00878559v2⟩