{"title":"哈代空间中带有涡性的二维欧拉方程的非唯一性和能量耗散","authors":"Miriam Buck, Stefano Modena","doi":"10.1007/s00021-024-00860-9","DOIUrl":null,"url":null,"abstract":"<div><p>We construct by convex integration examples of energy dissipating solutions to the 2D Euler equations on <span>\\({\\mathbb {R}}^2\\)</span> with vorticity in the Hardy space <span>\\(H^p({\\mathbb {R}}^2)\\)</span>, for any <span>\\(2/3<p<1\\)</span>.</p></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-024-00860-9.pdf","citationCount":"0","resultStr":"{\"title\":\"Non-Uniqueness and Energy Dissipation for 2D Euler Equations with Vorticity in Hardy Spaces\",\"authors\":\"Miriam Buck, Stefano Modena\",\"doi\":\"10.1007/s00021-024-00860-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We construct by convex integration examples of energy dissipating solutions to the 2D Euler equations on <span>\\\\({\\\\mathbb {R}}^2\\\\)</span> with vorticity in the Hardy space <span>\\\\(H^p({\\\\mathbb {R}}^2)\\\\)</span>, for any <span>\\\\(2/3<p<1\\\\)</span>.</p></div>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-03-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s00021-024-00860-9.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00021-024-00860-9\",\"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/s00021-024-00860-9","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Non-Uniqueness and Energy Dissipation for 2D Euler Equations with Vorticity in Hardy Spaces
We construct by convex integration examples of energy dissipating solutions to the 2D Euler equations on \({\mathbb {R}}^2\) with vorticity in the Hardy space \(H^p({\mathbb {R}}^2)\), for any \(2/3<p<1\).
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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