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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.

Journal Article Type Article
Publication Date May 27, 2014
Journal Forum of Mathematics, Sigma
Print ISSN 2050-5094
Electronic ISSN 2050-5094
Publisher Cambridge University Press (CUP)
Peer Reviewed Peer Reviewed
Volume 2
Article Number e11
APA6 Citation Kurzke, M., & Spirn, D. (2014). Vortex liquids and the Ginzburg-Landau equation. Forum of Mathematics, Sigma, 2, doi:10.1017/fms.2014.6
DOI https://doi.org/10.1017/fms.2014.6
Publisher URL http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9272403&fulltextType=RA&fileId=S2050509414000061
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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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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