45 citations · 242 across the 29 of their papers we have counts for
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math.AP2009★ 1 cited
Scattering for 1D cubic NLS and singular vortex dynamics
Valeria Banica, Luis Vega
In this paper we study the stability of the self-similar solutions of the binormal flow, which is a model for the dynamics of vortex filaments in fluids and super-fluids. These par…
math-ph2009★ 39 cited
Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation
Valeria Banica, Rémi Carles, Thomas Duyckaerts
We consider the mass-critical focusing nonlinear Schrodinger equation in the presence of an external potential, when the nonlinearity is inhomogeneous. We show that if the inhomoge…