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
来源：
NONLINEARITY | 2023年 / 36卷 / 07期
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
相关论文
共 56 条
[1]  
[Anonymous], 1975, Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
[2]  
Applebaum D., 2009, CAMBRIDGE STUDIES AD, V16
[3]  
Bahouri H, 2011, GRUNDLEHR MATH WISS, V343, P1, DOI 10.1007/978-3-642-16830-7
[4]  
Beirao da Veiga H., 1980, COMMUN PDE, V5, P95, DOI [10.1080/03605308008820134, DOI 10.1080/03605308008820134]
[5]  
Caffarelli LA, 2010, ANN MATH, V171, P1903
[6]   Properties of the linear non-local Stokes operator and its application [J].
Cao, Xiangdi ;
Chen, Qionglei ;
Lai, Baishun .
NONLINEARITY, 2019, 32 (07) :2633-2666
[7]  
Chen L, 2021, METHODS APPL ANAL, V28, P153
[8]   Global regularity of density patch for the 3D inhomogeneous Navier-Stokes equations [J].
Chen, Qionglei ;
Li, Yatao .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (02)
[9]   Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids [J].
Choe, HJ ;
Kim, H .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (5-6) :1183-1201
[10]   The global Cauchy problem for compressible Euler equations with a nonlocal dissipation [J].
Choi, Young-Pil .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2019, 29 (01) :185-207
123456