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Knotted vortex tubes in the Euler equation

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Topological Dynamics in the Physical and Biological Sciences

In this talk we will address the problem of the existence of stationary knotted and linked vortex tubes for the Euler equation. The existence of these structures is a very interesting question in Fluid Mechanics, which dates back to Lord Kelvin’s studies of thin vortex tubes. We will discuss some contributions to this problem (jointly with Alberto Enciso) using Beltrami fields. This builds upon (and significantly improves) our previous work on linked vortex lines of steady solutions to the Euler equation.

This talk is part of the Isaac Newton Institute Seminar Series series.

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