Variational approach to uniform rigid rotation of Ginzburg-Landau vortices (Q1590367)

The main result of the paper establishes the existence of time-periodic solutions to the second-order time-dependent equation associated to the Ginzburg-Landau action, with the additional property that the solution at a fixed time is a nontrivial rigid rotation of the initial data. The authors use a direct variational approach obtaining the solutions as critical points of a suitable indefinite functional. Physical interpretations are also discussed.