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Phase Separating Solutions for Two Component Systems in General Planar Domains by Michał Kowalczyk; Angela Pistoia; Giusi Vaira is a Mathematics article available to read on EtoBox.

What is Phase Separating Solutions for Two Component Systems in General Planar Domains about?

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.

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Author

Michał Kowalczyk; Angela Pistoia; Giusi Vaira

Publisher

Springer Science and Business Media LLC

Published

2023

Language

EN

Field

Mathematics (Physical Sciences)