29 citations · 64 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…