Stability for the Magnetic Bénard System with Partial Dissipation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-17 DOI:10.1007/s00021-024-00872-5

Yuzhu Wang, Yuhang Zhang, Xiaoping Zhai

引用次数: 0

Abstract

In this paper, we prove the global existence and stability of the magnetic Bénard system with partial dissipation on perturbations near a background magnetic field in \({\mathbb {T}}^d (d=2,3)\). If there is no velocity dissipation, the stability result provides a significant example for the stabilizing effects of the magnetic field on electrically conducting fluids. In addition, we obtain an explicit large-time decay rate of the solutions.

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具有部分耗散的贝纳德磁性系统的稳定性

本文证明了在\({\mathbb {T}}^d (d=2,3)\) 背景磁场附近的扰动上具有部分耗散的磁性贝纳德系统的全局存在性和稳定性。如果不存在速度耗散，那么稳定结果为磁场对导电流体的稳定效应提供了一个重要的例子。此外，我们还得到了解的显式大时间衰减率。

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.