INCOMPRESSIBLE JET FLOW PAST AN OBSTACLE

被引：0
|
作者：
Cheng, Jianfeng [1 ]
Huang, Jinli [2 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610065, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2023年 / 55卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Key words. incompressible jet flow; existence; uniqueness; free boundary; EULER FLOWS; 2; FLUIDS;
D O I：
10.1137/22M1516646
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the well-posedness of the incompressible jet flow issuing from a semi-infinitely long nozzle and moving around an obstacle. More precisely, we prove that one can find a differential pressure, such that there exists a unique solution to the incompressible jet flow, with the upper free boundary initiating smoothly from the endpoint of the nozzle wall and the lower free boundary initiating smoothly from the surface of the obstacle. Moreover, the nonexistence of a finite cavity between the cavity boundary and the obstacle is established. On another side, we obtain the optimal regularity at the detachment of the lower free boundary.
引用
收藏
页码：7077 / 7112
页数：36
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