摘要
该文研究了二维不可压缩Navier-Stokes-Allen-Cahn系统的边界层分离.首先利用不可压缩流的几何理论以及泰勒展开式,得到平直边界下边界层分离的条件;其次求出边界奇点,得到弯曲边界下边界层分离的条件.这些条件由初值和外力决定,可以预测Navier-Stokes-Allen-Cahn系统发生边界层分离的时间和地点.
In this paper,boundary layer separation of 2-D incompressible Navier-Stokes-Allen-Cahn system is considered.Firstly,the condition of boundary layer separation under flat boundary is obtained with the help of the geometric theory of incompressible flow and Taylor expansion.Secondly,the expression for boundary singularity is presented and the condition of boundary layer separation under curved boundary is discovered.The conditions,determined by initial values and external forces,can predict when and where boundary layer separation for Navier-Stokes-Allen-Cahn system will occur.
作者
陈敏
胡碧艳
罗宏
Chen Min;Hu Biyan;Luo Hong(School of Mathematics Science,Sichuan Normal University,Chengdu 610068)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2023年第4期1123-1132,共10页
Acta Mathematica Scientia
基金
国家自然科学基金(12171343)
四川省科研厅科研基金(22CXTD0029)。
作者简介
通讯作者:罗宏,lhscnu@163.com;陈敏,E-mail:1653637845@qq.com;胡碧艳,2838954298@qq.com。
