Global Strong Solution to the 3D Incompressible Navierv-Stokes Equations with General Initial Data

被引：0

作者：

Zheng, Tingting ^{[1
]}

Zhang, Peixin ^{[2
]}

机构：

[1] Fujian Agr & Forest Univ, Comp & Message Sci Coll, Fuzhou 350002, Fujian, Peoples R China

[2] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2015年 / 48卷 / 03期

关键词：

Incompressible Navier-Stokes equations; strong solutions; vacuum;

D O I：

10.4208/jms.v48n3.15.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of global strong solution to an initial-boundary value (or initial value) problem for the 3D nonhomogeneous incompressible Navier-Stokes equations. In this study, the initial density is suitably small (or the viscosity coefficient suitably large) and the initial vacuumis allowed. Results show that the unique solution of the Navier- Stokes equations can be found.

引用

页码：250 / 255

页数：6