Knots and links in steady solutions of the Euler equation

Alberto Enciso, Daniel Peralta-Salas
2012 Annals of Mathematics  
Given any possibly unbounded, locally finite link, we show that there exists a smooth diffeomorphism transforming this link into a set of stream (or vortex) lines of a vector field that solves the steady incompressible Euler equation in R 3 . Furthermore, the diffeomorphism can be chosen arbitrarily close to the identity in any C r norm.
doi:10.4007/annals.2012.175.1.9 fatcat:7y2qk64lbngfloqd7qpjidwjnm