带真空的非齐次不可压缩Navier-Stokes方程强解的整体存在性和指数衰减

IF 0.6 Q4 MATHEMATICS, APPLIED

Methods and applications of analysis Pub Date : 2018-06-12 DOI:10.4310/maa.2022.v29.n1.a3

Dehua Wang, Z. Ye

{"title":"带真空的非齐次不可压缩Navier-Stokes方程强解的整体存在性和指数衰减","authors":"Dehua Wang, Z. Ye","doi":"10.4310/maa.2022.v29.n1.a3","DOIUrl":null,"url":null,"abstract":"The inhomogeneous incompressible Navier-Stokes equations with fractional Laplacian dissipations in the multi-dimensional whole space are considered. The existence and uniqueness of global strong solution with vacuum are established for large initial data. The exponential decay-in-time of the strong solution is also obtained, which is different from the homogeneous case. The initial density may have vacuum and even compact support.","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Global existence and exponential decay of strong solutions for the inhomogeneous incompressible Navier–Stokes equations with vacuum\",\"authors\":\"Dehua Wang, Z. Ye\",\"doi\":\"10.4310/maa.2022.v29.n1.a3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The inhomogeneous incompressible Navier-Stokes equations with fractional Laplacian dissipations in the multi-dimensional whole space are considered. The existence and uniqueness of global strong solution with vacuum are established for large initial data. The exponential decay-in-time of the strong solution is also obtained, which is different from the homogeneous case. The initial density may have vacuum and even compact support.\",\"PeriodicalId\":18467,\"journal\":{\"name\":\"Methods and applications of analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2018-06-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Methods and applications of analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4310/maa.2022.v29.n1.a3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Methods and applications of analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4310/maa.2022.v29.n1.a3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 6

摘要

研究了多维整体空间中具有分数阶拉普拉斯耗散的非齐次不可压缩Navier-Stokes方程。对于大初始数据，建立了带真空的全局强解的存在唯一性。得到了与齐次情况不同的强解的指数时间衰减。初始密度可以是真空的，甚至是致密的支撑。

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 existence and exponential decay of strong solutions for the inhomogeneous incompressible Navier–Stokes equations with vacuum

The inhomogeneous incompressible Navier-Stokes equations with fractional Laplacian dissipations in the multi-dimensional whole space are considered. The existence and uniqueness of global strong solution with vacuum are established for large initial data. The exponential decay-in-time of the strong solution is also obtained, which is different from the homogeneous case. The initial density may have vacuum and even compact support.

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

Methods and applications of analysis MATHEMATICS, APPLIED-

自引率

33.30%

发文量