| Abstract: |
| It is well-known that there exist a number of steady solutions with point vortices to the Euler equations. Both configurations in the plane, and embedded in water waves. In recent years there has been a program to desingularize these steady solutions, by expanding the point vortices into hollow vortices. These are essentially spinning air bubbles. In this talk I will give an overview of this effort, including work in progress on hollow vortex rings. |
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