One day workshop on Geometric Evolution Problems
timetable:
Tue 6 Dec, 10:00 - 11:00, Aula Mancini
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seminar: Quantization and motion law for Ginburg-Landau vortices
speaker: Giandomenico Orlandi (Università di Verona )abstract: We study the vortex trajectories for the 2D parabolic Ginzburg-Landau equation without well-preparedness assumption on the initial data. We prove that the trajectory set is rectifiable, satisfies a weak motion law and that dissipation occurs only at a finite number of times. Moreover, away from these times, collisions and splittings of vortices are constrained by algebraic equations involving their topological degrees. Quantization properties of the energy and potential densities play a central role in the proofs.
timetable:
Tue 6 Dec, 10:00 - 11:00, Aula Mancini
<< Go back