Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899108 | Journal of Differential Equations | 2018 | 31 Pages |
Abstract
We consider a nonlinear Schrödinger system arising in a two-component Bose-Einstein condensate (BEC) with attractive intraspecies interactions and repulsive interspecies interactions in R2. We get ground states of this system by solving a constrained minimization problem. For some kinds of trapping potentials, we prove that the minimization problem has a minimizer if and only if the attractive interaction strength ai(i=1,2) of each component of the BEC system is strictly less than a threshold aâ. Furthermore, as (a1,a2)â(aâ,aâ), the asymptotical behavior for the minimizers of the minimization problem is discussed. Our results show that each component of the BEC system concentrates at a global minimum of the associated trapping potential.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yujin Guo, Xiaoyu Zeng, Huan-Song Zhou,