Limiting behaviour of the Ginzburg-Landau functional up to the domain boundary 

Sullivan MacDonald, McMaster University

10/31, 2022 at 11:30am-12:30pm (HH403)

In this talk we present recent work which considers the limiting behaviour of the Ginzburg-Landau functional paired with functions satisfying either zero tangential or normal boundary conditions. Specifically, we describe limiting behaviour for sequences of functions whose Jacobians, $Ju = \det(\nabla u)$, converge to a linear combination of Dirac deltas, representing vortices, in an appropriate dual space. Here, we permit the Jacobians to converge to Dirac deltas supported on the boundary of the domain. This extends classical work which only permitted interior vortices.