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Stochastic isentropic Euler equations

Florent Berthelin 1, 2 Julien Vovelle 3
1 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
3 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : 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.
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Submitted on : Monday, February 1, 2016 - 4:09:42 PM
Last modification on : Monday, June 28, 2021 - 2:26:07 PM

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  • HAL Id : hal-00878559, version 2
  • ARXIV : 1310.8093

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

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