On Orbital Instability of Spectrally Stable Vortices of the NLS in the Plane

• DOI: 10.1007/s00332-016-9322-9
• Publication Date: 2016-07-20T12:53:52Z
• Authors: Scipio Cuccagna; Masaya Maeda
• Keywords: Krein signature; Stability; Modeling and Simulation; Engineering (all); Applied Mathematics; Applied Mathematics; Krein signature; 01 natural sciences; Engineering (all); Mathematics - Analysis of PDEs; Modeling and Simulation; 0103 physical sciences; FOS: Mathematics; 0101 mathematics; Stability; Analysis of PDEs (math.AP)

We explain how spectrally stable vortices of the Nonlinear Schr��dinger 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.<br/>Revised version<br/>