In this paper we consider a two component system of coupled non linear Schrödinger equations modeling the phase separation in the binary mixture of Bose–Einstein condensates and other related problems. Assuming the existence of solutions in the limit of large interspecies scattering length β the system reduces to a couple of scalar problems on subdomains of pure phases (Noris et al. in Commun Pure Appl Math 63:267–302, 2010). Here we show that given a solution to the limiting problem under some additional non degeneracy assumptions there exists a family of solutions parametrized by β≫1.
Phase separating solutions for two component systems in general planar domains / Kowalczyk, M.; Pistoia, A.; Vaira, G.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - (2023).
Phase separating solutions for two component systems in general planar domains
Kowalczyk, M.;Pistoia, A.
;Vaira, G.
2023
Abstract
In this paper we consider a two component system of coupled non linear Schrödinger equations modeling the phase separation in the binary mixture of Bose–Einstein condensates and other related problems. Assuming the existence of solutions in the limit of large interspecies scattering length β the system reduces to a couple of scalar problems on subdomains of pure phases (Noris et al. in Commun Pure Appl Math 63:267–302, 2010). Here we show that given a solution to the limiting problem under some additional non degeneracy assumptions there exists a family of solutions parametrized by β≫1.File | Dimensione | Formato | |
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