Title	Some Ginzburg-Landau problems for vector fields on manifolds.
Creator	Jerrard, Bob
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-06T15:33
Description	Motivated in part by problems arising in micromagnetics, we study several variational models of Ginzburg-Landau type, depending on a small parameter $\epsilon >0$, for (tangent) vector fields on a 2-dimensional compact Riemannian surface. As $\epsilon\to 0$, the vector fields tend to be of unit length and develop singular points of a (non-zero) index, called vortices. Our main result determines the interaction energy between these vortices as $\epsilon\to 0$, allowing us to characterize the asymptotic behaviour of minimizing sequence. This is joint work with Radu Ignat.
Extent	30.0 minutes
Subject	Mathematics; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Toronto
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-03
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0384900
URI	http://hdl.handle.net/2429/72166
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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