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Knotted vortex tubes in the Euler equation

Date: 
Tuesday 24th July 2012 - 09:00 to 09:40
Venue: 
INI Seminar Room 1
Session Chair: 
Renzo Ricca
Abstract: 
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons