CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET*

doi:10.1007/s10473-024-0113-3

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (1): 234-246.doi: 10.1007/s10473-024-0113-3

CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^*

Xiaohui Wang

College of Mathematics and Physics, and Geomathematics Key Laboratory of Sichuan Province, Chengdu University of Technology, Chengdu 610059, China

收稿日期:2022-08-20 修回日期:2023-08-04 出版日期:2024-02-25 发布日期:2024-02-27
作者简介:Xiaohui Wang, E-mail: xiaohuiwang1@126.com
基金资助:
National Natural Science Foundation of China (12101088), and the Natural Science Foundation of Sichuan Province (2022NSFSC1858).

CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^*

Xiaohui Wang

College of Mathematics and Physics, and Geomathematics Key Laboratory of Sichuan Province, Chengdu University of Technology, Chengdu 610059, China

Received:2022-08-20 Revised:2023-08-04 Online:2024-02-25 Published:2024-02-27
About author:Xiaohui Wang, E-mail: xiaohuiwang1@126.com
Supported by:
National Natural Science Foundation of China (12101088), and the Natural Science Foundation of Sichuan Province (2022NSFSC1858).

摘要/Abstract

摘要： This paper is devoted to the study of the shape of the free boundary for a three-dimensional axisymmetric incompressible impinging jet. To be more precise, we will show that the free boundary is convex to the fluid, provided that the uneven ground is concave to the fluid.

关键词: Euler system, axisymmetric impinging jet, incompressible, free boundary, convexity

Abstract: This paper is devoted to the study of the shape of the free boundary for a three-dimensional axisymmetric incompressible impinging jet. To be more precise, we will show that the free boundary is convex to the fluid, provided that the uneven ground is concave to the fluid.

Key words: Euler system, axisymmetric impinging jet, incompressible, free boundary, convexity

中图分类号:

35Q31

Xiaohui Wang. CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^*[J]. 数学物理学报(英文版), 2024, 44(1): 234-246.

Xiaohui Wang. CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^*[J]. Acta mathematica scientia,Series B, 2024, 44(1): 234-246.

参考文献

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CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^*

CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^*

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