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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| Format: | Article |
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Society for Industrial and Applied Mathematics
2017
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| Online Access: | https://eprints.nottingham.ac.uk/40895/ |
| _version_ | 1848796156969091072 |
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| author | Kurzke, Matthias Marzuola, Jeremy L. Spirn, Daniel |
| author_facet | Kurzke, Matthias Marzuola, Jeremy L. Spirn, Daniel |
| author_sort | Kurzke, Matthias |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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 and elliptic problems are discussed. |
| first_indexed | 2025-11-14T19:43:31Z |
| format | Article |
| id | nottingham-40895 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:31Z |
| publishDate | 2017 |
| publisher | Society for Industrial and Applied Mathematics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-408952020-05-04T18:34:28Z https://eprints.nottingham.ac.uk/40895/ Gross-Pitaevskii vortex motion with critically scaled inhomogeneities Kurzke, Matthias Marzuola, Jeremy L. Spirn, Daniel 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 and elliptic problems are discussed. Society for Industrial and Applied Mathematics 2017-02-16 Article PeerReviewed Kurzke, Matthias, Marzuola, Jeremy L. and Spirn, Daniel (2017) Gross-Pitaevskii vortex motion with critically scaled inhomogeneities. SIAM Journal on Mathematical Analysis, 49 (1). pp. 471-500. ISSN 0036-1410 Vortices Gross-Pitaevskii Critical scaling http://epubs.siam.org/doi/10.1137/15M1049014 doi:10.1137/15M1049014 doi:10.1137/15M1049014 |
| spellingShingle | Vortices Gross-Pitaevskii Critical scaling Kurzke, Matthias Marzuola, Jeremy L. Spirn, Daniel Gross-Pitaevskii vortex motion with critically scaled inhomogeneities |
| title | Gross-Pitaevskii vortex motion with critically scaled inhomogeneities |
| title_full | Gross-Pitaevskii vortex motion with critically scaled inhomogeneities |
| title_fullStr | Gross-Pitaevskii vortex motion with critically scaled inhomogeneities |
| title_full_unstemmed | Gross-Pitaevskii vortex motion with critically scaled inhomogeneities |
| title_short | Gross-Pitaevskii vortex motion with critically scaled inhomogeneities |
| title_sort | gross-pitaevskii vortex motion with critically scaled inhomogeneities |
| topic | Vortices Gross-Pitaevskii Critical scaling |
| url | https://eprints.nottingham.ac.uk/40895/ https://eprints.nottingham.ac.uk/40895/ https://eprints.nottingham.ac.uk/40895/ |