Journal title
Communications in Partial Differential Equations
DOI
10.1080/03605302.2021.1881112
Issue
8
Volume
46
Last updated
2024-03-07T17:55:03.91+00:00
Page
1410-1439
Abstract
The system leading to phase segregation in two-component Bose-Einstein condensates can be generalized to hyperfine spin states with a Rabi term coupling. This leads to domain wall solutions having a monotone structure for a non-cooperative system. We use the moving plane method to prove monotonicity and one-dimensionality of the phase transition solutions. This relies on totally new estimates for a type of system for which no Maximum Principle a priori holds. We also derive that one dimensional solutions are unique up to translations. When the Rabi coefficient is large, we prove that no non-constant solutions can exist.
Symplectic ID
1152016
Submitted to ORA
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Publication type
Journal Article
Publication date
14 Feb 2021