Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter
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.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2019
- DOI:
- 10.48550/arXiv.1903.09553
- arXiv:
- arXiv:1903.09553
- Bibcode:
- 2019arXiv190309553C
- Keywords:
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- Mathematics - Analysis of PDEs