Asymptotic behavior of critical points for a Gross-Pitaevskii energy

作者：Zhou, Ling; Xu, Haifeng^*; Liu, Zuhan

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(12): 4274-4291.

DOI：10.1016/j.na.2011.04.010

• Gross-Pitaevskii energy
• Bose-Einstein condensate
• Rectifiable

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.

• 出版日期2011-8
• 单位江苏师范大学; 扬州大学