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math.AP2021
A uniqueness result for the two vortex travelling wave in the Nonlinear Schrodinger equation
David Chiron, Eliot Pacherie
For the Nonlinear Schrodinger equation in dimension 2, the existence of a global minimizer of the energy at fixed momentum has been established by Bethuel-Gravejat-Saut. This minim…
math.AP2021
On the stability of the Ginzburg-Landau vortex
Philippe Gravejat, Eliot Pacherie, Didier Smets
We introduce a functional framework taylored to investigate the minimality and stability properties of the Ginzburg-Landau vortex of degree one on the whole plane. We prove that a…