Réunion d'hiver SMC 2010
Coast Plaza Hotel and Suites, Vancouver, 4 - 6 décembre 2010

Prix Krieger-Nelson

LIA BRONSARD, McMaster University
Vortices in Ginzburg-Landau Systems  [PDF]

The Ginzburg-Landau model is a popular and successful variational principle in physics, for describing phenomena such as superconductivity, superfluidity, and Bose-Einstein 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 Ginzburg-Landau 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 Ginzburg-Landau model with a more complex, two-component Ginzburg-Landau system where more interesting vortex core structures are possible.


AARMS: Atlantic Association for Research in the Mathematical Sciences Centre de recherches mathématiques Fields Institute MITACS Pacific Institute for the Mathematical Sciences University of British Columbia Simon Fraser University University of Alberta University of Victoria

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