Seminar Analysis and Mathematical Physics: David Meyer (Universität Münster)

Steady vortex rings with surface tension

A vortex ring is a solution of the axisymmetric Euler equations consisting of some torus of concentrated vorticity. Motivated by the appearance of Vortex rings as bubble rings, we study vortex rings with surface tension at the interface. We show the existence of traveling wave solutions. In particular, our construction also justifies the existence of so-called hollow vortex rings, where the vorticity is a measure concentrated on the interface.

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