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- Title
The well-posedness of incompressible rotational jet flows with gravity.
- Authors
Cheng, Jianfeng; Pei, Zhenlei
- Abstract
This paper is concerned with the well-posedness theory and geometric property of steady two-dimensional incompressible jet flow with vorticity and gravity. The main results show that for given incoming mass flux and atmospheric pressure at outlet, there exists a unique incompressible jet flow issuing from a semi-infinitely long nozzle, and the free boundary initiates smoothly at the separation point. Moreover, we obtain the single intersection property of the free boundary by under-over theorem. As a consequence, the monotonicity of the free boundary will be established.
- Subjects
ROTATIONAL flow; JETS (Fluid dynamics); INCOMPRESSIBLE flow; VORTEX motion; ATMOSPHERIC pressure; GRAVITY
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 2, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-024-02661-4