10/26/2005

Myrto Sauvageot
Laboratoire Jacques-Louis Lions

Variations around the Ginzburg-Landau model for a superconducting cylinder

This talk will propose a study of classes of solutions for the Ginzburg-Landau equations related to a superconducting cylinder with applied magnetic field. It is presented from two points of view : vorticity, i.e. the precise location of the zeros of the wave function, and of the maxima of its modulus; and bifurcation phenomena leading from one class of solutions to another, which roughly speaking correspond to transitions between superconducting phases as observed by physicists.