A short remark on inviscid limit of the stochastic Navier–Stokes equations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Zeitschrift für Angewandte Mathematik und Physik Année : 2023

A short remark on inviscid limit of the stochastic Navier–Stokes equations

Résumé

Abstract In this article, we study the inviscid limit of the stochastic incompressible Navier–Stokes equations in three-dimensional space. We prove that a subsequence of weak martingale solutions of the stochastic incompressible Navier–Stokes equations converges strongly to a weak martingale solution of the stochastic incompressible Euler equations in the periodic domain under the well-accepted hypothesis, namely Kolmogorov hypothesis ( K41 ).

Dates et versions

hal-04242569 , version 1 (15-10-2023)

Identifiants

Citer

Abhishek Chaudhary, Guy Vallet. A short remark on inviscid limit of the stochastic Navier–Stokes equations. Zeitschrift für Angewandte Mathematik und Physik, 2023, 74 (6), pp.219. ⟨10.1007/s00033-023-02110-w⟩. ⟨hal-04242569⟩
27 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More