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Vortex liquids and the Ginzburg-Landau equation

Kurzke, Matthias; Spirn, Daniel

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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 Mar 28, 2024
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

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