TY - ELEC
AU - Bob Jerrard
PY - 2019
TI - Some Ginzburg-Landau problems for vector fields on manifolds.
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0384900
ER - End of Reference