Rayleigh–Bénard Convection with Stochastic Forcing Localised Near the Bottom

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-19 DOI:10.1007/s10884-023-10336-5

Juraj Földes, Armen Shirikyan

引用次数: 0

Abstract

We prove stochastic stability of the three-dimensional Rayleigh–Bénard convection in the infinite Prandtl number regime for any pair of temperatures maintained on the top and the bottom. Assuming that the non-degenerate random perturbation acts in a thin layer adjacent to the bottom of the domain, we prove that the law of the random flow periodic in the two infinite directions stabilises to a unique stationary measure, provided that there is at least one point accessible from any initial state. We also prove that the latter property is satisfied if the amplitude of the noise is sufficiently large.

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近底局部随机强迫的瑞利-贝纳德对流

我们证明了三维雷利-贝纳德对流在无限普朗特尔数条件下的随机稳定性，即在顶部和底部保持任意一对温度。假设非退化随机扰动作用于邻近域底部的薄层，我们证明，只要至少有一个点可以从任何初始状态到达，两个无限方向上周期性的随机流规律就会稳定为唯一的静止量。我们还证明，如果噪声的振幅足够大，后一个特性也会得到满足。

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.