Department of Mathematics
University of Ioannina
Ioannina, Greece
email: sourdis@uoc.gr
Christos Sourdis
Abstract:
This paper studies 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.
Submitted October 10, 2017. Published January 31, 2018.
Math Subject Classifications: 34C37, 34C45, 34C14, 35J61.
Key Words: Geometric singular perturbation theory;
heteroclinic connection; hamiltonian system;
Bose-Einstein condensate; phase separation.
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Christos Sourdis Department of Mathematics University of Ioannina Ioannina, Greece email: sourdis@uoc.gr |
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