41 citations · 350 across the 36 of their papers we have counts for
4 papers · 2 filters
Decay and Scattering for the Chern-Simons-Schrödinger Equations
Sung-Jin Oh, Fabio Pusateri
We consider the Chern-Simons-Schrödinger model in 1+2 dimensions, and prove scattering for small solutions of the Cauchy problem in the Coulomb gauge. This model is a gauge covaria…
On Global Solutions of a Zakharov type System
Thomas Beck, Fabio Pusateri, Philippe Sosoe +1
We consider a class of wave-Schroedinger systems with a Zakharov-Schulman type coupling. This class of systems is indexed by a parameter gamma which measures the strength of the nu…
Modified scattering for the Boson Star Equation
Fabio Pusateri
We consider the question of scattering for the boson star equation in three space dimensions. This is a semi-relativistic Klein-Gordon equation with a cubic nonlinearity of Hartree…
Global solutions for the gravity water waves system in 2d
Alexandru D. Ionescu, Fabio Pusateri
We consider the gravity water waves system in the case of a one dimensional interface, for sufficiently smooth and localized initial data, and prove global existence of small solut…