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arXiv · 1508.03146

On orbital instability of spectrally stable vortices of the NLS in the plane

Scipio Cuccagna·Masaya Maeda
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Abstract

We explain how spectrally stable vortices of the Nonlinear Schrödinger Equation in the plane can be orbitally unstable. This relates to the nonlinear Fermi golden rule, a mechanism which exploits the nonlinear interaction between discrete and continuous modes of the NLS.

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Scipio Cuccagna, Masaya Maeda. 2016-08-02. On orbital instability of spectrally stable vortices of the NLS in the plane. https://doi.org/10.1007/s00332-016-9322-9

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