Global well-posedness and large-time behavior of classical solutions to the 3D Navier-Stokes system with changed viscosities

被引：4

作者：

Guo, Zhenhua ^{[1
]}

Song, Wenjing ^{[1
]}

机构：

[1] Northwest Univ Xian, Dept Math, Ctr Nonlinear Studies, Xian 710069, Shaanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 03期

基金：

中国国家自然科学基金;

关键词：

DENSITY-DEPENDENT VISCOSITY; SHALLOW-WATER EQUATIONS; WEAK SOLUTIONS; EXISTENCE; VACUUM; MODEL; 1D; DERIVATION; KORTEWEG; FLOWS;

D O I：

10.1063/1.5083646

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish the global existence of classical solutions to the Cauchy problem for the Navier-Stokes equations with viscosities depending on density in three spatial dimensions with smooth initial data which are of small energy but possibly large oscillations with constant state. Moreover, we obtain some large-time behavior and decay rate estimates of the solutions. Published under license by AIP Publishing.

引用

页数：29

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