Global regularity of 2D Rayleigh–Bénard equations with logarithmic supercritical dissipation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-22 DOI:10.1016/j.na.2024.113617

Baoquan Yuan, Xinyuan Xu, Changhao Li

引用次数: 0

Abstract

In this paper, we study the global regularity problem for the 2D Rayleigh–Bénard equations with logarithmic supercritical dissipation. By exploiting a combined quantity of the system, the technique of Littlewood-Paley decomposition and Besov spaces, and some commutator estimates, we establish the global regularity of a strong solution to this equations in the Sobolev space $H^{s} (R^{2})$ for $s \geq 2$ .

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具有对数超临界耗散的二维雷利-贝纳德方程的全局正则性

本文研究了具有对数超临界耗散的二维雷利-贝纳德方程的全局正则性问题。通过利用系统的综合量、Littlewood-Paley 分解和 Besov 空间技术以及一些换元估计，我们建立了该方程在 Sobolev 空间中的强解的全局正则性。

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.