Remarks on Regularization by Noise, Convex Integration and Spontaneous Stochasticity

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-02 DOI:10.1007/s00032-024-00406-8

Franco Flandoli, Marco Rehmeier

引用次数: 0

Abstract

This note is devoted to a discussion of the potential links and differences between three topics: regularization by noise, convex integration, spontaneous stochasticity. All of them deal with the effect on large scales of a small-scale perturbation of fluid dynamic equations. The effects sometimes have something in common, like convex integration and spontaneous stochasticity, sometimes they look the opposite, as in regularization by noise. We are not aware of rigorous links or precise explanations of the differences, and hope to drive new research with this comparative examination.

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关于噪声正则化、凸积分和自发随机性的评论

本论文主要讨论噪声正则化、凸积分和自发随机性这三个主题之间的潜在联系和区别。它们都涉及流体动力学方程的小尺度扰动对大尺度的影响。这些影响有时有共同之处，如凸积分和自发随机性；有时则相反，如噪声正则化。我们不知道这些差异之间有什么严格的联系或精确的解释，希望通过这次比较研究推动新的研究。

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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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.