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arXiv · 2410.12612

Steady vortex sheets in presence of surface tension

Federico Murgante·Emeric Roulley·Stefano Scrobogna
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Abstract

We prove a bifurcation result of uniformly-rotating/stationary non-trivial vortex sheets near the circular distribution for a model of two irrotational fluids with same density taking into account surface tension effects. As bifurcation parameters, we play with either the speed of rotation, the surface tension coefficient or the mean vorticity.

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Federico Murgante, Emeric Roulley, Stefano Scrobogna. 2024-10-16. Steady vortex sheets in presence of surface tension. https://arxiv.org/abs/2410.12612

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