Limiting jump energies for micromagnetics
Sylvia Serfaty
Courant Institute
Wednesday, February 6
2:30-3:30 pm, Room 4422
We study the asymptotic limit of an energy-functional arising in the
theory of micromagnetics. It involves S^1-valued vector fields
whose limits are divergence-free vector fields which jump along line
singularities. We give some explicit formulas for the cost of
the jumps, and show how they are optimal through 2D patterns called
cross-tie walls
in physics.