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

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arxiv 2006.03827 v1 pith:FYJL74WU submitted 2020-06-06 math.AP

R.L. Jerrard , D. Smets This is my paper · ORCID
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keywords equationasymptoticcontextfilamentsgross-pitaevskiimotionnearlyparallel
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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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  1. Nearly parallel helical vortex filaments in the three dimensional Euler equations

    math.AP 2025-02 conditional novelty 7.0 of 10

    Existence of smooth 3D Euler solutions concentrating along N nearly parallel helical vortex filaments whose rotation speed matches the Klein-Majda-Damodaran model to leading order.

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