{"title":"带有分数扩散的 SQG 全局唯一解与瞬时规律性损失","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":"{\"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}","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}
Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
