Asymptotic behavior of critical points for a Gross–Pitaevskii energy Original Research Article

In this paper, we study the asymptotic behavior of critical points of a Gross–Pitaevskii energy, which is proposed as a model for rotationally forced Bose–Einstein condensate. We prove that the limiting singularity set is one-dimensional rectifiable. We also establish the convergence result for critical points away from limiting singularities.