On orbital instability of spectrally stable vortices of the NLS in the plane
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🧮 math.AP
keywords
nonlinearplanespectrallystablevorticescontinuousdiscreteequation
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We explain how spectrally stable vortices of the Nonlinear Schr\"odinger 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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