Convexity of the free boundary for an axisymmetric incompressible impinging jet. (English) Zbl 1538.35276
Summary: 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.
MSC:
| 35Q31 | Euler equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 76G25 | General aerodynamics and subsonic flows |
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