具有缓慢衰减振荡的朗道解周围扰动纳维-斯托克斯系统的全局存在性

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED Communications in Mathematical Sciences Pub Date : 2024-02-01 DOI:10.4310/cms.2024.v22.n2.a10

Jiayan Wu, Cuili Zhai, Jingjing Zhang, Ting Zhang

{"title":"具有缓慢衰减振荡的朗道解周围扰动纳维-斯托克斯系统的全局存在性","authors":"Jiayan Wu, Cuili Zhai, Jingjing Zhang, Ting Zhang","doi":"10.4310/cms.2024.v22.n2.a10","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the perturbed Navier–Stokes system around the Landau solutions. Using the energy method and the continuation method, we show the global existence of the $L^2$ local energy solution for the perturbed Navier–Stokes system with the oscillation decay initial data $v_0 \\in E^2_{\\sigma} + L^3_{\\operatorname{uloc}} \\,$.","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"122 1","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation\",\"authors\":\"Jiayan Wu, Cuili Zhai, Jingjing Zhang, Ting Zhang\",\"doi\":\"10.4310/cms.2024.v22.n2.a10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the perturbed Navier–Stokes system around the Landau solutions. Using the energy method and the continuation method, we show the global existence of the $L^2$ local energy solution for the perturbed Navier–Stokes system with the oscillation decay initial data $v_0 \\\\in E^2_{\\\\sigma} + L^3_{\\\\operatorname{uloc}} \\\\,$.\",\"PeriodicalId\":50659,\"journal\":{\"name\":\"Communications in Mathematical Sciences\",\"volume\":\"122 1\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Sciences\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/cms.2024.v22.n2.a10\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cms.2024.v22.n2.a10","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

本文考虑了围绕朗道解的扰动纳维-斯托克斯系统。利用能量法和延续法，我们证明了具有振荡衰减初始数据 $v_0 \in E^2_{\sigma} + L^3_{\operatorname{uloc}} 的扰动纳维-斯托克斯系统的 $L^2$ 局域能量解的全局存在性。\,$.

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation

In this paper, we consider the perturbed Navier–Stokes system around the Landau solutions. Using the energy method and the continuation method, we show the global existence of the $L^2$ local energy solution for the perturbed Navier–Stokes system with the oscillation decay initial data $v_0 \in E^2_{\sigma} + L^3_{\operatorname{uloc}} \,$.

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

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.