{"title":"关于具有密度相关粘度的三维非均质不可压缩纳维-斯托克斯方程的全局好拟性","authors":"Dongjuan Niu, Lu Wang","doi":"10.1360/SCM-2023-0384","DOIUrl":null,"url":null,"abstract":"In this paper, we are concerned with the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space $\\dot{B}^{\\frac 12}$. Compared with the previous result of Abidi and Zhang (Science China Mathematics 58 (6) (2015) 1129-1150), we remove the smallness assumption of the viscosity $\\mu(\\rho_0)-1$ in $L^{\\infty}$-norm.","PeriodicalId":513480,"journal":{"name":"SCIENTIA SINICA Mathematica","volume":"46 11","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity\",\"authors\":\"Dongjuan Niu, Lu Wang\",\"doi\":\"10.1360/SCM-2023-0384\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we are concerned with the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space $\\\\dot{B}^{\\\\frac 12}$. Compared with the previous result of Abidi and Zhang (Science China Mathematics 58 (6) (2015) 1129-1150), we remove the smallness assumption of the viscosity $\\\\mu(\\\\rho_0)-1$ in $L^{\\\\infty}$-norm.\",\"PeriodicalId\":513480,\"journal\":{\"name\":\"SCIENTIA SINICA Mathematica\",\"volume\":\"46 11\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SCIENTIA SINICA Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1360/SCM-2023-0384\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SCIENTIA SINICA Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/SCM-2023-0384","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity
In this paper, we are concerned with the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space $\dot{B}^{\frac 12}$. Compared with the previous result of Abidi and Zhang (Science China Mathematics 58 (6) (2015) 1129-1150), we remove the smallness assumption of the viscosity $\mu(\rho_0)-1$ in $L^{\infty}$-norm.
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