A lower bound for the density of the steady Navier Stokes equations

被引：1

作者：

Chen, Senming ^{[1
]}

Zhu, Changjiang ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 98卷

基金：

中国国家自然科学基金;

关键词：

Compressible Navier-Stokes equations; Weak solutions; Lower bound;

D O I：

10.1016/j.aml.2019.05.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the approximation system to the steady compressible Navier-Stokes equations. It is proved that the density has a positive lower bound. And we use the lower bound to study the distribution of the density for a family of elliptic equations. A further investigation gives a typical upper bound of the density, and its limit functions only fit the solutions with the velocity divergence free. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：88 / 94

页数：7