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.
Thin knotted vortex tubes in stationary solutions to the Euler equation
Albert Enciso, ICMAT - Madrid
Nov 6 2014 - 4:30pm
Analysis of Fluids and Related Topics