seminar: Heat flow and Schrödinger flow for the Ginzburg-Landau energy in two dimensions

speaker: Didier Smets (Université Pierre et Marie Curie)

abstract: The Gross-Pitaevskii and the parabolic Ginzburg-Landau equations correspond respectively to the Schrödinger and heat flows for the Ginzburg-Landau energy functional. Among the interesting features of these two systems is the fact that different regimes lead to a rich variety of limit systems: in the planar case, these include for example vortex motions, traveling waves, and phase oscillations governed by the linear heat and wave equations. In this talk I will review some recent works aimed at understanding each of these modes as well as their interactions.

timetable:
Mon 3 Sep, 10:00 - 11:00, Lizzanello
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