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arXiv · 1407.4974

The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit

Clement Gallo
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Abstract

We prove existence and uniqueness of a positive solution to a system of two coupled Gross-Pitaevskii equations. We give a full asymptotic expansion of this solution into powers of the semi classical parameter $\varepsilon$ in the Thomas--Fermi limit $\varepsilon\to 0$.

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Clement Gallo. 2014-07-18. The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit. https://arxiv.org/abs/1407.4974

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