可压缩霍尔-磁流体动力学系统的最佳时间衰减率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-08-26 DOI:10.1007/s00021-023-00820-9

Shengbin Fu, Weiwei Wang

{"title":"可压缩霍尔-磁流体动力学系统的最佳时间衰减率","authors":"Shengbin Fu, Weiwei Wang","doi":"10.1007/s00021-023-00820-9","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we are interested in the global well-posedness of the strong solutions to the Cauchy problem on the compressible magnetohydrodynamics system with Hall effect. Moreover, we establish the convergence rates of the above solutions trending towards the constant equilibrium <span>\\(({\\bar{\\rho }},0,\\bar{\\textbf{B}})\\)</span>, provided that the initial perturbation belonging to <span>\\(H^3({\\mathbb {R}}^3) \\cap B_{2, \\infty }^{-s}({\\mathbb {R}}^3)\\)</span> for <span>\\(s \\in (0,\\frac{3}{2}]\\)</span> is sufficiently small.</p></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System\",\"authors\":\"Shengbin Fu, Weiwei Wang\",\"doi\":\"10.1007/s00021-023-00820-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we are interested in the global well-posedness of the strong solutions to the Cauchy problem on the compressible magnetohydrodynamics system with Hall effect. Moreover, we establish the convergence rates of the above solutions trending towards the constant equilibrium <span>\\\\(({\\\\bar{\\\\rho }},0,\\\\bar{\\\\textbf{B}})\\\\)</span>, provided that the initial perturbation belonging to <span>\\\\(H^3({\\\\mathbb {R}}^3) \\\\cap B_{2, \\\\infty }^{-s}({\\\\mathbb {R}}^3)\\\\)</span> for <span>\\\\(s \\\\in (0,\\\\frac{3}{2}]\\\\)</span> is sufficiently small.</p></div>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00021-023-00820-9\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00021-023-00820-9","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了具有霍尔效应的可压缩磁流体动力学系统的Cauchy问题强解的全局适定性。此外，我们还建立了上述解趋向于常平衡的收敛速率 \(({\bar{\rho }},0,\bar{\textbf{B}})\)，则初始摄动属于 \(H^3({\mathbb {R}}^3) \cap B_{2, \infty }^{-s}({\mathbb {R}}^3)\) 为了 \(s \in (0,\frac{3}{2}]\) 足够小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System

In this paper, we are interested in the global well-posedness of the strong solutions to the Cauchy problem on the compressible magnetohydrodynamics system with Hall effect. Moreover, we establish the convergence rates of the above solutions trending towards the constant equilibrium \(({\bar{\rho }},0,\bar{\textbf{B}})\), provided that the initial perturbation belonging to \(H^3({\mathbb {R}}^3) \cap B_{2, \infty }^{-s}({\mathbb {R}}^3)\) for \(s \in (0,\frac{3}{2}]\) is sufficiently small.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.