Special Session 111: Partial Differential Equations and Material Sciences

Properties of ground states for two-component attractive Bose-Einstein condensates

Xiaoyu Zeng
Wuhan University of Technology
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we study a system of two coupled time-independent Gross-Pitaevskii equations, which is used to model two-component Bose-Einstein condensates with attractive interactions. For a certain type of trapping potentials, especially for the degenerate ring-shaped potentials, we investigate the existence, concentration and local uniqueness of ground states.