REMARKS ON GLOBAL WEAK SOLUTIONS TO A TWO-FLUID TYPE MODEL

被引：5
作者：
Wen, Huanyao [1 ]
Zhu, Changjiang [1 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 7-8期
基金：
中国国家自然科学基金;
关键词：
Key words and phrases; Two-fluid type models; global weak solutions; transition to single-phase flow; NAVIER-STOKES EQUATIONS; LIQUID-GAS MODEL; ASYMPTOTIC ANALYSIS; CLASSICAL-SOLUTIONS; EXISTENCE; PRESSURE; FLOW; SYSTEM; SEDIMENTATION; BEHAVIOR;
D O I：
10.3934/cpaa.2021072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper aims to give a review of a two-fluid type model mostly on large-data solutions. Some derivations of the model arising in different physical background will be introduced. In addition, we will sketch the proof of global existence of weak solutions to the Dirichlet problem for the model in one dimension with more general pressure law which can be non monotone, in the context of allowing unconstrained transition to single-phase flow.
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页码：2839 / 2856
页数：18
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