Vortex liquids and the Ginzburg-Landau equation
We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, i...
| Main Authors: | , |
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| Format: | Article |
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Cambridge University Press
2014
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| Online Access: | https://eprints.nottingham.ac.uk/30744/ |
| _version_ | 1848794048941260800 |
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| author | Kurzke, Matthias Spirn, Daniel |
| author_facet | Kurzke, Matthias Spirn, Daniel |
| author_sort | Kurzke, Matthias |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to explicit convergence rates. For dilute vortex liquids, we prove that sequences of solutions converge to the hydrodynamic limit. |
| first_indexed | 2025-11-14T19:10:00Z |
| format | Article |
| id | nottingham-30744 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:10:00Z |
| publishDate | 2014 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-307442020-05-04T16:47:36Z https://eprints.nottingham.ac.uk/30744/ Vortex liquids and the Ginzburg-Landau equation Kurzke, Matthias Spirn, Daniel We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to explicit convergence rates. For dilute vortex liquids, we prove that sequences of solutions converge to the hydrodynamic limit. Cambridge University Press 2014-05-27 Article PeerReviewed Kurzke, Matthias and Spirn, Daniel (2014) Vortex liquids and the Ginzburg-Landau equation. Forum of Mathematics, Sigma, 2 . e11/1-e11/63. ISSN 2050-5094 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9272403&fulltextType=RA&fileId=S2050509414000061 doi:10.1017/fms.2014.6 doi:10.1017/fms.2014.6 |
| spellingShingle | Kurzke, Matthias Spirn, Daniel Vortex liquids and the Ginzburg-Landau equation |
| title | Vortex liquids and the Ginzburg-Landau equation |
| title_full | Vortex liquids and the Ginzburg-Landau equation |
| title_fullStr | Vortex liquids and the Ginzburg-Landau equation |
| title_full_unstemmed | Vortex liquids and the Ginzburg-Landau equation |
| title_short | Vortex liquids and the Ginzburg-Landau equation |
| title_sort | vortex liquids and the ginzburg-landau equation |
| url | https://eprints.nottingham.ac.uk/30744/ https://eprints.nottingham.ac.uk/30744/ https://eprints.nottingham.ac.uk/30744/ |