Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation
arXiv:2006.03827
Abstract
In the nineties, Klein, Majda and Damodaran have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the three dimensional Euler equation for incompressible fluids. In the present work, we rigorously derive the corresponding asymptotic motion law in the context of the Gross-Pitaevskii equation.
33 pages