Dienstag, 05.06.2012 11:00 Uhr

Rotating vortex solutions to the Gross-Pitaevskii equation on the two-sphere

Michael Gelantalis, Indiana University

In this talk we present some recent results concerning the existence of rotating vortex solutions
to the Gross-Pitaevskii equation on S2.  The vortices that these solutions possess follow the
trajectories of certain “relative equilibria” of the point-vortex problem for all time. Similar
results have been rigorously established for the Gross-Pitaevskii equation posed on the flat two-
torus and on bounded planar domains. We adopt an approach that is based on minimizing the
Ginzburg-Landau energy subject to an integral momentum constraint within certain symmetry
classes. We also discuss the orbital stability of these solutions within a class of symmetric initial

Zeit: 11:00 Uhr

Ort: SG 11, Seminargebäude, RWTH Aachen, Wüllnerstraße 5b, 52062 Aachen