Static States for Rotating Two-Component Bose–Einstein Condensates

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2025-01-25 DOI:10.1111/sapm.70013

Hichem Hajaiej, Xiao Luo, Tao Yang

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引用次数: 0

Abstract

In this paper, we study static states for rotating two-component Bose–Einstein condensates (BECs) in two and three dimensions. This leads to analyze normalized solutions for a coupled Schrödinger system with rotation. In dimension two, it corresponds to a mass-critical problem, for which we obtain some existence and nonexistence results. In the three-dimensional case, the problem becomes mass-supercritical, where we prove a multiplicity result along with an accurately asymptotical analysis. Furthermore, a stability result is also established in both cases. We not only extend the main results in Ardila and Hajaiej (Journal of Dynamics and Differential Equations 35 (2023), 1643–1665), Arbunich et al. (Letters in Mathematical Physics 109 (2019), 1415–1432), and Luo and Yang (Journal of Differential Equations 304 (2021), 326–347) from the rotating one-component BEC to rotating two-component BECs, but we also partially extend the results of Guo et al. (Discrete and Continuous Dynamical Systems 37 (2017), 3749–3786; Journal of Differential Equations 264 (2018), 1411–1441) from nonrotating two-component BECs to rotating two-component BECs.

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.