Blow-up profile of Bose-Einstein condensate with singular potentials
arXiv:1707.07865
Abstract
The paper is concerned with the Bose-Einstein condensate described by the attractive Gross-Pitaevskii equation in R 2 , where the external potential is unbounded from below. We show that when the interaction strength increases to a critical value, the Gross-Pitaevskii minimizer collapses to one singular point and we analyze the details of the collapse exactly up to the leading order.
14 pages, no figure. To appear Journal of Mathematical Physics