EXISTENCE OF WEAK SOLUTIONS TO THE STEADY TWO-PHASE FLOW

被引：4

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：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2019年 / 17卷 / 06期

基金：

中国国家自然科学基金;

关键词：

two-phase model; weak solutions; non-uniqueness; NAVIER-STOKES EQUATIONS; MODEL;

D O I：

10.4310/CMS.2019.v17.n6.a9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of weak solutions to the steady two-phase flow. The result holds in three dimensions on the condition that the adiabatic constants 7,0> 1 and y>;, 9=1. By constructing a special example, we show that the weak solutions are non-unique. It turns out that the uniform approximation scheme restricts the type of weak solutions, which leads to some open problems.

引用

页码：1699 / 1712

页数：14

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