GLOBAL STRONG SOLUTIONS TO THE INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES SYSTEM IN THE EXTERIOR OF A CYLINDER\ast

被引：4
作者：
Guo, Zhengguang [1 ,2 ]
Wang, Yun [3 ]
Xie, Chunjing [4 ,5 ]
机构：
[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Inst Nat Sci, 800 Dongchuan Rd, Shanghai 200240, Peoples R China
[3] Soochow Univ, Ctr Dynam Syst & Differential Equat, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China
[4] Shanghai Jiao Tong Univ, Sch Math Sci, Inst Nat Sci, Minist Educ,Key Lab Sci & Engn Comp, 800 Dongchuan Rd, Shanghai 200240, Peoples R China
[5] Shanghai Jiao Tong Univ, SHL MAC, 800 Dongchuan Rd, Shanghai 200240, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 06期
基金：
中国博士后科学基金;
关键词：
  inhomogeneous Navier-Stokes system; axisymmetric solutions; global strong solu-tions; exterior of a cylinder; SUITABLE WEAK SOLUTIONS; AXISYMMETRICAL SOLUTIONS; REGULARITY CRITERIA; VISCOUS FLUIDS; EQUATIONS; EXISTENCE; DENSITY; UNIQUENESS; STABILITY; FLOWS;
D O I：
10.1137/20M1384439
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, global strong axisymmetric solutions for the inhomogeneous incompressible Navier-Stokes system are established in the exterior of a cylinder subject to the Dirichlet boundary conditions, where both the vacuum and the nonzero swirl velocity are allowed in these solutions. A key ingredient of the analysis is obtaining the L2(s, T; L degrees degrees(\Omega )) bound for the velocity field, where the axisymmetry of the solutions plays an important role.
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页码：6804 / 6821
页数：18
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