{"title":"稳定Prandtl解的动态稳定性","authors":"Yan Guo, Yue Wang, Zhifei Zhang","doi":"10.1007/s40818-023-00160-x","DOIUrl":null,"url":null,"abstract":"<div><p>By establishing an invariant set (1.11) for the Prandtl equation in Crocco transformation, we prove the orbital and asymptotic stability of Blasius-like steady states against Oleinik’s monotone solutions.</p></div>","PeriodicalId":36382,"journal":{"name":"Annals of Pde","volume":"9 2","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40818-023-00160-x.pdf","citationCount":"0","resultStr":"{\"title\":\"Dynamic Stability for Steady Prandtl Solutions\",\"authors\":\"Yan Guo, Yue Wang, Zhifei Zhang\",\"doi\":\"10.1007/s40818-023-00160-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>By establishing an invariant set (1.11) for the Prandtl equation in Crocco transformation, we prove the orbital and asymptotic stability of Blasius-like steady states against Oleinik’s monotone solutions.</p></div>\",\"PeriodicalId\":36382,\"journal\":{\"name\":\"Annals of Pde\",\"volume\":\"9 2\",\"pages\":\"\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2023-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40818-023-00160-x.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Pde\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40818-023-00160-x\",\"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/s40818-023-00160-x","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
By establishing an invariant set (1.11) for the Prandtl equation in Crocco transformation, we prove the orbital and asymptotic stability of Blasius-like steady states against Oleinik’s monotone solutions.