MATTHIAS KURZKE Matthias.Kurzke@nottingham.ac.uk
Associate Professor
Vortex liquids and the Ginzburg-Landau equation
Kurzke, Matthias; Spirn, Daniel
Authors
Daniel Spirn
Abstract
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.
Citation
Kurzke, M., & Spirn, D. (2014). Vortex liquids and the Ginzburg-Landau equation. Forum of Mathematics, Sigma, 2, Article e11. https://doi.org/10.1017/fms.2014.6
Journal Article Type | Article |
---|---|
Publication Date | May 27, 2014 |
Deposit Date | Nov 13, 2015 |
Publicly Available Date | Nov 13, 2015 |
Journal | Forum of Mathematics, Sigma |
Print ISSN | 2050-5094 |
Electronic ISSN | 2050-5094 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 2 |
Article Number | e11 |
DOI | https://doi.org/10.1017/fms.2014.6 |
Public URL | https://nottingham-repository.worktribe.com/output/728182 |
Publisher URL | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9272403&fulltextType=RA&fileId=S2050509414000061 |
Files
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
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