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arXiv · 1903.09553

Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter

Jean-Baptiste Casteras·Christos Sourdis
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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.

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Jean-Baptiste Casteras, Christos Sourdis. 2019-03-22. Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter. https://arxiv.org/abs/1903.09553

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