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arXiv · 1707.07865

Blow-up profile of Bose-Einstein condensate with singular potentials

Thanh Viet Phan
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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.

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Thanh Viet Phan. 2017-07-25. Blow-up profile of Bose-Einstein condensate with singular potentials. https://arxiv.org/abs/1707.07865

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