29 citations · 64 across the 8 of their papers we have counts for
9 papers
The good commutator approach to global asymptotics for the Schrödinger equation with variable coefficients
Sung-Jin Oh, Federico Pasqualotto, Ning Tang
We present a robust physical-space approach to establish time decay and global asymptotics of solutions to variable-coefficient Schrödinger equations in -dimensions. As an i…
The asymptotics of massive fields on stationary spherically symmetric black holes for all angular momenta
Federico Pasqualotto, Yakov Shlapentokh-Rothman, Maxime Van de Moortel
We study the massive scalar field equation on a stationary and spherically symmetric black hole (including in particular the Schwarzschild and Reissner--Nords…
Multi-localized time-symmetric initial data for the Einstein vacuum equations
John Anderson, Justin Corvino, Federico Pasqualotto
We construct a class of time-symmetric initial data sets for the Einstein vacuum equation modeling elementary configurations of multiple ``almost isolated" systems. Each such initi…
Magnetic Relaxation of a Voigt-MHD System
Peter Constantin, Federico Pasqualotto
We construct solutions of the magnetohydrostatic (MHS) equations in bounded domains and on the torus in three spatial dimensions, as infinite time limits of Voigt approximations of…
Gradient blow-up for dispersive and dissipative perturbations of the Burgers equation
Sung-Jin Oh, Federico Pasqualotto
We consider a class of dispersive and dissipative perturbations of the inviscid Burgers equation, which includes the fractional KdV equation of order , and the fractal Burgers e…
Global stability for nonlinear wave equations with multi-localized initial data
John Anderson, Federico Pasqualotto
In this paper, we initiate the study of the global stability of nonlinear wave equations with initial data that are not required to be localized around a single point. More precise…
Compressible fluids and active potentials
Peter Constantin, Theodore D. Drivas, Huy Q. Nguyen +1
We consider a class of one dimensional compressible systems with degenerate diffusion coefficients. We establish the fact that the solutions remain smooth as long as the diffusion…
Nonlinear stability for the Maxwell-Born-Infeld system on a Schwarzschild background
Federico Pasqualotto
In this paper we prove small data global existence for solutions to the Maxwell-Born-Infeld (MBI) system on a fixed Schwarzschild background. This system has appeared in the contex…
The spin 1 Teukolsky equations and the Maxwell system on Schwarzschild
Federico Pasqualotto
In this note we prove decay for the spin 1 Teukolsky Equations on the Schwarzschild spacetime. These equations are those satisfied by the extreme components ( and $\underli…