Non UBC
DSpace
Bob Jerrard
2019-11-03T08:37:36Z
2019-05-06T15:33
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.
https://circle.library.ubc.ca/rest/handle/2429/72166?expand=metadata
30.0 minutes
video/mp4
Author affiliation: University of Toronto
Banff (Alta.)
10.14288/1.0384900
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial differential equations
Differential geometry
Some Ginzburg-Landau problems for vector fields on manifolds.
Moving Image
http://hdl.handle.net/2429/72166