关于随机Navier-Stokes方程的无粘极限

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-13 DOI:10.1007/s00033-023-02110-w

Abhishek Chaudhary, Guy Vallet

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引用次数: 0

摘要

摘要本文研究了三维空间中随机不可压缩Navier-Stokes方程的无粘极限。在公认的Kolmogorov假设(K41)下，证明了随机不可压缩Navier-Stokes方程的弱鞅解的子序列在周期域上强收敛于随机不可压缩Euler方程的弱鞅解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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 ).

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.