{"title":"朗道解周围摄动Navier-Stokes系统的局部适定性","authors":"Jingjing Zhang, Ting Zhang","doi":"10.3934/ERA.2021010","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the perturbed Navier–Stokes equations around the Landau solution and investigate the global well-posedness results of the perturbed system with the small initial data in the [Formula: see text] space, where [Formula: see text].","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Local well-posedness of perturbed Navier-Stokes system around Landau solutions\",\"authors\":\"Jingjing Zhang, Ting Zhang\",\"doi\":\"10.3934/ERA.2021010\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the perturbed Navier–Stokes equations around the Landau solution and investigate the global well-posedness results of the perturbed system with the small initial data in the [Formula: see text] space, where [Formula: see text].\",\"PeriodicalId\":48554,\"journal\":{\"name\":\"Electronic Research Archive\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Research Archive\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3934/ERA.2021010\",\"RegionNum\":4,\"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":"Electronic Research Archive","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3934/ERA.2021010","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Local well-posedness of perturbed Navier-Stokes system around Landau solutions
In this paper, we consider the perturbed Navier–Stokes equations around the Landau solution and investigate the global well-posedness results of the perturbed system with the small initial data in the [Formula: see text] space, where [Formula: see text].