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Asymptotic behavior of critical points for a Gross–Pitaevskii energy

✍ Scribed by Ling Zhou; Haifeng Xu; Zuhan Liu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
334 KB
Volume
74
Category
Article
ISSN
0362-546X

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✦ Synopsis

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.

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