Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter
Analysis of PDEs
2019-03-25 v1
Abstract
We consider strongly coupled competitive elliptic systems that arise in the study of two-component Bose-Einstein condensates. As the coupling parameter tends to infinity, solutions that remain uniformly bounded are known to converge to a segregated limiting profile, with the difference of its components satisfying a limit scalar PDE. In the case of radial symmetry, under natural non-degeneracy assumptions on a solution of the limit problem, we establish by a perturbation argument its persistence as a solution to the elliptic system.
Cite
@article{arxiv.1903.09553,
title = {Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter},
author = {Jean-Baptiste Casteras and Christos Sourdis},
journal= {arXiv preprint arXiv:1903.09553},
year = {2019}
}