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math.DS2014
The Generalized Point-Vortex Problem and Rotating Solutions to the Gross-Pitaevskii Equation on Surfaces of Revolution
Ko-Shin Chen
We study the generalized point-vortex problem and the Gross-Pitaevskii equation on surfaces of revolution. We find rotating periodic solutions to the generalized point-vortex probl…
math.DS2012★ 8 cited
Dynamics Of Ginzburg-Landau And Gross-Pitaevskii Vortices On Manifolds
Ko-Shin Chen, Peter Sternberg
We consider the dissipative heat flow and conservative Gross-Pitaevskii dynamics associated with the Ginzburg-Landau energy posed on a Riemannian 2-manifold M. We show the limiting…