Gross-Pitaevskii vortex motion with critically scaled inhomogeneities

Matthias Kurzke, Jeremy L. Marzuola, Daniel Spirn

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We study the dynamics of vortices in an inhomogeneous Gross-Pitaevskii equation i∂tu = Δu + 1/ϵ22 ϵ (x) - |u|2). For a unique scaling regime |ρϵ(x) - 1| = O(log ϵ-1), it is shown that vortices can interact both with the background perturbation and with each other. Results for associated parabolic and elliptic problems are discussed.

Original languageEnglish (US)
Pages (from-to)471-500
Number of pages30
JournalSIAM Journal on Mathematical Analysis
Volume49
Issue number1
DOIs
StatePublished - 2017

Bibliographical note

Funding Information:
The work of the second author was supported in part by NSF applied math grant DMS-1312874 and NSF CAREER grant DMS-1352353. The work of the third author was supported in part by NSF CAREER grant DMS-0955687 and NSF grant DMS-1516565.

Publisher Copyright:
© 2017 Society for Industrial and Applied Mathematics.

Keywords

  • Critical scaling
  • Gross-Pitaevskii
  • Vortices

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