Solutions with one dimensional concentration for a two dimensional Gross-Pitaevskii model with general potential

发布时间：2025-11-14 作者：浏览次数：

Speaker:	杨军	DateTime:	2025年11月28日（周五）下午15:00-16:00
Brief Introduction to Speaker: 杨军教授，广州大学		Place:	国交2号楼315会议室
Abstract:We study a Gross-Pitaevskii equation with a trap potential under the unit mass constraint, which is used to describe Bose-Einstein condensates with attractive interaction. First, we provide some necessary conditions for the existence of a solution concentrating at a curve. Next, under stationary and non-degeneracy assumptions on the curve with respect to an auxiliary weighted length involving the trap potential, we construct a solution with concentration directed along the curve, provided that the parameter $-\lambda \to +\infty$. Our result improves upon very recent results by Q.