New estimates enable the moving plane method to establish monotonicity, one-dimensionality, and uniqueness of phase transition solutions in a non-cooperative elliptic system with Rabi coupling, with non-existence for large coefficients.
On the weak separation limit of a two-component Bose-Einstein condensate
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abstract
This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate in the case of weak segregation. This amounts to the study of the asymptotic behaviour of a heteroclinic connection in a conservative Hamiltonian system of two coupled second order ODE's, as the strength of the coupling tends to its infimum. For this purpose, we apply geometric singular perturbation theory.
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math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Moving planes for domain walls in a coupled system
New estimates enable the moving plane method to establish monotonicity, one-dimensionality, and uniqueness of phase transition solutions in a non-cooperative elliptic system with Rabi coupling, with non-existence for large coefficients.