On leapfrogging phenomenon in 3D axi-symmetric Euler flow

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Meeting ID: 933 610 9307
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Friday, October 2, 2020 - 15:30


Speaker Information
Juncheng Wei
University of British Columbia

Abstract or Additional Information

In 1858, Helmholtz predicted that two ring formed vortex-filaments to Euler fluid would pass through each other alternately and become leapfrogging. In this talk, I will present a rigorous proof of this conjecture. The key idea is a new gluing method applied to desingularization of vortex/vortex filaments to 2D or 3D Euler flow. I will also discuss the existence of traveling pairs of vortex  rings to 3D Euler equation.