Global well-posedness for 2D fractional inhomogeneous Navier-Stokes equations with rough density

被引:0
|
作者
Li, Yatao [1 ,2 ]
Miao, Qianyun [3 ]
Xue, Liutang [2 ]
机构
[1] Jiangxi Univ Finance & Econ, Dept Math, Nanchang 330032, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst MOE, Beijing 100875, Peoples R China
[3] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
关键词
fractional inhomogeneous Navier-Stokes equations; maximal regularity; Lagrangian method; density patch; LAGRANGIAN-EULERIAN METHODS; CAUCHY-PROBLEM; PATCHES; FLUIDS; REGULARITY; UNIQUENESS; STABILITY; EXISTENCE; DIFFUSION; VELOCITY;
D O I
10.1088/1361-6544/acda75
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the global well-posedness issue of the two-dimensional (2D) incompressible inhomogeneous Navier-Stokes equations with fractional dissipation and rough density. By establishing the Ltq(Lxp)
引用
收藏
页码:3866 / 3908
页数:43
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