The existence of axially symmetric stationary fluids with gravity
Abstract
Abstract We establish a theoretical framework for the existence of axially symmetric stationary fluids with gravity within nozzles of finite height. The main focus is on the free streamline theory in axially symmetric fluids under the influence of gravity, with particular emphasis on the position of the initial point of the free streamline. Specifically, given the axial velocity and pressure at the inlet, along with the internal bubble pressure, we demonstrate the existence smooth axially symmetric fluids with gravity. Furthermore, we obtain the decay rate of the free boundary in the far-field.
Fields of Study & Subjects
Navier-Stokes equation solutions
Nonlinear Partial Differential Equations
Fluid dynamics and aerodynamics studies
Publication details
- Journal / source
- Advances in Nonlinear Analysis
- Volume
- 15
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN