On the minimizers of the Ginzburg-Landau energy for high kappa : the axially symmetric case
Amandine Aftalion (1999)
Annales de l'I.H.P. Analyse non linéaire
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We describe qualitative behaviour of solutions of the Gross-Pitaevskii equation in 2D in terms of motion of vortices and radiation. To this end we introduce the notion of the intervortex energy. We develop a rather general adiabatic theory of motion of well separated vortices and present the method of effective action which gives a fairly straightforward justification of this theory. Finally we mention briefly two special situations where we are able to obtain rather detailed picture...