Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation

2020/06/06 by Robert L. Jerrard, Jerrard, R. L., Didier Smets +1
Physics and Astronomy · Mathematics · #Cold Atom Physics and Bose-Einstein Condensates #Advanced Mathematical Physics Problems #Gas Dynamics and Kinetic Theory

paper · pdf · doi:10.48550/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.

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