信息公告
应用数理学院学术报告 (6月8日)
发布时间:2018-06-05 

报告题目:Fundamental gaps of the Gross-Pitaevskii with repulsive interaction

报告人:Professor Weizhu Bao

        Department of Mathematics

        National University of Singapore

报告时间:20180608日(周五)15:30--16:30

报告地点:数理楼3层应用数学研究所对面学术报告厅(2315-3

摘要:

We study asymptotically and numerically fundamental gaps (i.e. difference between the first excited state and the ground state) in energy and chemical potential of the Gross-Pitaevskii equation (GPE) -- nonlinear Schroedinger equation (NLSE) with cubic nonlinearity-- with repulsive interaction under different trapping potentials including box potential and harmonic potential. Based on our asymptotic and numerical results, we formulate a gap conjecture on the fundamental gaps in energy and chemical potential of the GPE on bounded domains with the homogeneous Dirichlet boundary condition and in the whole space with a convex trapping potential growing at least quadratic in the far field. We extend these results to the GPE on bounded domains with either the homogeneous Neumann boundary condition or periodic boundary condition. Numerical results are reported to support the asymptotic results. This is a joint work with Dr Xinran Ruan.

报告人简介:包维柱教授,本硕博毕业于清华大学,现为新加坡国立大学数学系终身教授,主要工作涉及偏微分方程数值方法及其在量子物理、流体和材料中的应用等,2013年获得冯康科学计算奖2016年受邀在国际数学家大会上做45分钟邀请报告

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