{"title":"The Global Solvability of the Non-conservative Viscous Compressible Two-Fluid Model with Capillarity Effects for Some Large Initial Data","authors":"Fan Zhang, Fuyi Xu, Peng Fu","doi":"10.1007/s00021-023-00797-5","DOIUrl":null,"url":null,"abstract":"<div><p>The present paper is the continuation of works (Xu and Chi in Nonlinearity 34:164–204, 2021, Xu in The maximal regularity and its application to a multi-dimensional non-conservative viscous compressible two-fluid model with capillarity effects in <span>\\(L^{p}\\)</span>-type framework. arXiv:2201.05960, 2022). Under the assumption on the some large initial data, we obtain the existence of global strong solutions to a non-conservative viscous compressible two-fluid model with capillarity effects in any dimension <span>\\(N\\ge 2\\)</span>. Our analysis mainly relies on Fourier frequency localization technology, commutator estimate and Bony’s decomposition.</p></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-05-30","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/s00021-023-00797-5","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
Abstract
The present paper is the continuation of works (Xu and Chi in Nonlinearity 34:164–204, 2021, Xu in The maximal regularity and its application to a multi-dimensional non-conservative viscous compressible two-fluid model with capillarity effects in \(L^{p}\)-type framework. arXiv:2201.05960, 2022). Under the assumption on the some large initial data, we obtain the existence of global strong solutions to a non-conservative viscous compressible two-fluid model with capillarity effects in any dimension \(N\ge 2\). Our analysis mainly relies on Fourier frequency localization technology, commutator estimate and Bony’s decomposition.
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.
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