{"title":"Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion","authors":"Diego Córdoba, Luis Martínez-Zoroa","doi":"10.1007/s40818-024-00186-9","DOIUrl":null,"url":null,"abstract":"<div><p>In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation (<span>\\(\\alpha \\)</span>-SQG) that lose regularity instantly when there is super-critical fractional diffusion.</p></div>","PeriodicalId":36382,"journal":{"name":"Annals of Pde","volume":"10 2","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40818-024-00186-9.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Pde","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40818-024-00186-9","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation (\(\alpha \)-SQG) that lose regularity instantly when there is super-critical fractional diffusion.
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