GLOBAL REGULARITY FOR THE 3D INHOMOGENEOUS INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DAMPING

被引：2

作者：

Li, Kwang-Ok ^{[1
]}

Kim, Yong-Ho ^{[1
]}

机构：

[1] Univ Sci, Dept Math, Kwahak 1, Pyongyang, South Korea

来源：

APPLICATIONS OF MATHEMATICS | 2022年 / 68卷 / 02期

关键词：

inhomogeneous incompressible fluid; Navier-Stokes equations; damping; global regularity; WELL-POSEDNESS; DENSITY; FLUIDS; UNIQUENESS; EXISTENCE;

D O I：

10.21136/AM.2022.0166-21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids.

引用

页码：191 / 207

页数：17