21 citations · 41 across the 6 of their papers we have counts for
11 papers
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…
On the d cubic NLS with a non-generic potential
Gong Chen, Fabio Pusateri
We consider the cubic nonlinear Schrödinger equation with an external potential that is non-generic. Without making any parity assumption on the data, but assuming that th…
Internal mode-induced growth in d nonlinear Klein-Gordon equations
Tristan Léger, Fabio Pusateri
This note complements the paper \cite{LP} by proving a scattering statement for solutions of nonlinear Klein-Gordon equations with an internal mode in d. We show that small solu…
Maximal Speed of Quantum Propagation
Jack Arbunich, Fabio Pusateri, Israel Michael Sigal +1
For Schroedinger equations with both time-independent and time-dependent Kato potentials, we give a simple proof of the maximal speed bound. The latter states that the probability…
Bilinear estimates in the presence of a large potential and a critical NLS in 3d
Fabio Pusateri, Avy Soffer
We propose an approach to nonlinear evolution equations with large and decaying external potentials that addresses the question of controlling globally-in-time the nonlinear intera…
Birkhoff normal form and long time existence for periodic gravity water waves
Massimiliano Berti, Roberto Feola, Fabio Pusateri
We consider the gravity water waves system with a periodic one-dimensional interface in infinite depth, and prove a rigorous reduction of these equations to Birkhoff normal form up…