Rowan Juneman

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20242026

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math.AP2026

On the vortex filament conjecture for the Gross-Pitaevskii equation

Manuel del Pino, Rowan Juneman, Monica Musso +1

We establish one form of the vortex filament conjecture for the three-dimensional Gross-Pitaevskii equation. Given any smooth closed embedded binormal flow of curves on a compact t…

math.AP2025

Vortex dynamics for the Gross-Pitaevskii equation

Manuel del Pino, Rowan Juneman, Monica Musso

We rigorously establish the formal asymptotics of Neu for Gross-Pitaevskii vortex dynamics in the plane. Given any integer $n \geq 2$ , we construct a family of $n$ -vortex solutions w…

math.AP2024

Solvability for the Ginzburg-Landau equation linearized at the degree-one vortex

Manuel del Pino, Rowan Juneman, Monica Musso

We consider the Ginzburg-Landau equation in the plane linearized around the standard degree-one vortex solution $W (x) = w (r) e^{i θ}$ . Using explicit representation formulae for the Fo…