1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2024★ 1 cited
Linearized dynamic stability for vortices of Ginzburg-Landau evolutions
José M. Palacios, Fabio Pusateri
We consider the problem of dynamical stability for the -vortex of the Ginzburg-Landau model. Vortices are one of the main examples of topological solitons, and their dynamic sta…
math.AP2023
Maximal Speed of Quantum Propagation for the Hartree equation
Jack Arbunich, Jérémy Faupin, Fabio Pusateri +1
We prove maximal speed estimates for nonlinear quantum propagation in the context of the Hartree equation. More precisely, under some regularity and integrability assumptions on th…
math.AP2010
A new proof of long range scattering for critical nonlinear Schrödinger equations
Jun Kato, Fabio Pusateri
We present a new proof of global existence and long range scattering, from small initial data, for the one-dimensional cubic gauge invariant nonlinear Schrödinger equation, and for…