齐次Besov空间中Navier-Stokes-Coriolis方程的全局适定性和渐近性

Asymptot. Anal. Pub Date : 2017-11-08 DOI:10.3233/ASY-181496

L. Ferreira, V. Angulo-Castillo

{"title":"齐次Besov空间中Navier-Stokes-Coriolis方程的全局适定性和渐近性","authors":"L. Ferreira, V. Angulo-Castillo","doi":"10.3233/ASY-181496","DOIUrl":null,"url":null,"abstract":"We are concerned with the $3$D-Navier-Stokes equations with Coriolis force. Existence and uniqueness of global solutions in homogeneous Besov spaces are obtained for large speed of rotation. In the critical case of the regularity, we consider a suitable initial data class whose definition is based on the Stokes-Coriolis semigroup and Besov spaces. Moreover, we analyze the asymptotic behavior of solutions in that setting as the speed of rotation goes to infinity.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"46 1","pages":"37-58"},"PeriodicalIF":0.0000,"publicationDate":"2017-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Global well-posedness and asymptotic behavior for Navier-Stokes-Coriolis equations in homogeneous Besov spaces\",\"authors\":\"L. Ferreira, V. Angulo-Castillo\",\"doi\":\"10.3233/ASY-181496\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We are concerned with the $3$D-Navier-Stokes equations with Coriolis force. Existence and uniqueness of global solutions in homogeneous Besov spaces are obtained for large speed of rotation. In the critical case of the regularity, we consider a suitable initial data class whose definition is based on the Stokes-Coriolis semigroup and Besov spaces. Moreover, we analyze the asymptotic behavior of solutions in that setting as the speed of rotation goes to infinity.\",\"PeriodicalId\":8603,\"journal\":{\"name\":\"Asymptot. Anal.\",\"volume\":\"46 1\",\"pages\":\"37-58\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-11-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asymptot. Anal.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3233/ASY-181496\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-181496","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

我们关注的是含有科里奥利力的D-Navier-Stokes方程。得到了大转速下齐次Besov空间整体解的存在唯一性。在正则性的临界情况下，我们考虑了一个合适的初始数据类，其定义基于Stokes-Coriolis半群和Besov空间。此外，我们分析了当旋转速度趋于无穷时，解的渐近行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Global well-posedness and asymptotic behavior for Navier-Stokes-Coriolis equations in homogeneous Besov spaces

We are concerned with the $3$D-Navier-Stokes equations with Coriolis force. Existence and uniqueness of global solutions in homogeneous Besov spaces are obtained for large speed of rotation. In the critical case of the regularity, we consider a suitable initial data class whose definition is based on the Stokes-Coriolis semigroup and Besov spaces. Moreover, we analyze the asymptotic behavior of solutions in that setting as the speed of rotation goes to infinity.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Asymptot. Anal.

自引率

0.00%

发文量