KriegerNelson Prize
 LIA BRONSARD, McMaster University
Vortices in GinzburgLandau Systems [PDF]

The GinzburgLandau model is a popular and successful variational principle in physics, for describing phenomena such as superconductivity, superfluidity, and BoseEinstein condensation. It is no less remarkable for its mathematical features, in particular the quantized vortices which characterize its minimizing states. In this talk, I will discuss some PDE problems associated with GinzburgLandau vortices, which arise in characterizing all solutions which are "locally minimizing" in an appropriate sense (due to De Giorgi.) I will compare the results on the original GinzburgLandau model with a more complex, twocomponent GinzburgLandau system where more interesting vortex core structures are possible.
© Canadian Mathematical Society