### Knotted vortex tubes in the Euler equation

Peralta-Salas, D *(Instituto de Ciencias Matemáticas; Madrid)*

Tuesday 24 July 2012, 09:00-09:40

Seminar Room 1, Newton Institute

#### 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.

#### Presentation

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