Global Well-Posedness and Large-Time Behavior for Inhomogeneous Incompressible Navier-Stokes System in the Exterior of a Cylinder

被引：0

作者：

Wang, Ying ^{[1
,2
]}

Guo, Zhenhua ^{[1
]}

机构：

[1] Guangxi Univ, Sch Math & Informat Sci, Nanning, Peoples R China

[2] Guangxi Univ, Sch Phys Sci & Technol, Nanning, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 08期

基金：

中国国家自然科学基金;

关键词：

axisymmetric solutions; decay rates; exterior of a cylinder; global strong solutions; inhomogeneous Navier-Stokes system; uniform estimates; AXISYMMETRICAL SOLUTIONS; WEAK SOLUTIONS; REGULARITY; EQUATIONS;

D O I：

10.1002/mma.10739

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider axisymmetric solutions of inhomogeneous incompressible Navier-Stokes system under Dirichlet boundary conditions in the exterior of a cylinder. We establish the global well-posedness of strong solutions and obtain uniform estimates for the gradient of the density as well as algebraic decay rates for spatial gradients of the velocity. Note that the initial density can contain vacuum states, and the initial data do not need to satisfy compatibility condition.

引用

页码：8602 / 8616

页数：15

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