Gross-Pitaevskii vortex motion with critically scaled inhomogeneities

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Gross-Pitaevskii vortex motion with critically scaled inhomogeneities

We study the dynamics of vortices in an inhomogeneous Gross--Pitaevskii equation iδtu = Δu + 1/ε²(ρ² ε(ᵡ) - |u|²). For a unique scaling regime |ρε(ᵡ) - 1 = O(logε¯¹), it is shown that vortices can interact both with the background perturbation and with each other. Results for associated parabolic an...

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Bibliographic Details
Main Authors:	Kurzke, Matthias, Marzuola, Jeremy L., Spirn, Daniel
Format:	Article
Published:	Society for Industrial and Applied Mathematics 2017
Subjects:	Vortices Gross-Pitaevskii Critical scaling
Online Access:	https://eprints.nottingham.ac.uk/40895/

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