Mass Concentration and Asymptotic Uniqueness of Ground State for 3-Component BEC with External Potential in ℝ 2
Yuzhen Kong, Qingxuan Wang, Dun Zhao
Abstract We investigate the ground states of 3-component Bose–Einstein condensates with harmonic-like trapping potentials in ℝ 2 {\mathbb{R}^{2}} , where the intra-component interactions μ i {\mu_{i}} and the inter-component interactions β i j = β j i {\beta_{ij}=\beta_{ji}} ( i , j = 1 , 2 , 3 {i,j=1,2,3} , i ≠ j {i\neq j} ) are all attractive. We display the regions of μ i {\mu_{i}} and β i j {\beta_{ij}} for the existence and nonexistence of the ground states, and give an elaborate analysis for the asymptotic behavior of the ground states as β i j ↗ β i j * := a ∗ + 1 2 ( a ∗ - μ i ) ( a ∗ - μ j
Advanced Nonlinear Studies•May 18, 2021•0 citations