Thin knotted vortex tubes in stationary solutions to the Euler equation

Thin knotted vortex tubes in stationary solutions to the Euler equation

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Alberto Enciso, ICMAT - Madrid
Fine Hall 322

In this talk we will discuss the proof of the existence of thin vortex tubes for stationary solutions to the incompressible Euler equation in R^3. More precisely, given a finite collection of (possibly linked and knotted) disjoint thin tubes in R^3, we will show that they can be transformed using a small diffeomorphism into a set of vortex tubes of a Beltrami field that tends to zero at infinity.