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

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...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Physik 2023-12, Vol.74 (6), Article 219
Main Authors: Chaudhary, Abhishek, Vallet, Guy
Format: Article
Language:English
Subjects:
Engineering
Euler-Lagrange equation
Fluid flow
Hypotheses
Martingales
Mathematical analysis
Mathematical Methods in Physics
Mathematics
Navier-Stokes equations
Theoretical and Applied Mechanics
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Summary: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 ).
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-023-02110-w