On a model of rotating superfluids

We consider an energy-functional describing rotating super fluids at a rota ting velocity w, and prove similar results as for the Ginzburg-Landau funct ional of superconductivity: mainly the existence of branches of solutions w ith vortices, the existence of a critical w above which energy-minimizers h ave vortices, evaluations of the minimal energy as a function of w, and the derivation of a limiting free-boundary problem.