9 citations · 22 across the 14 of their papers we have counts for
19 papers
On the singular nature of shallow-water convergence of the intermediate long wave equation on the real line
Andreia Chapouto, Benjamin Harrop-Griffiths, Guopeng Li +1
We investigate regularity properties of the solution map for the intermediate long wave equation (ILW) on the real line. More precisely, we study the scaled ILW which was shown to…
Scattering for the nonlinear Schrödinger equation with concentrated nonlinearity
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We consider the cubic defocusing nonlinear Schrödinger equation in one dimension with the nonlinearity concentrated at a single point. We prove global well-posedness in the scaling…
A priori bounds and equicontinuity of orbits for the intermediate long wave equation
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We prove uniform-in-time a priori bounds for solutions to the intermediate long wave equation posed both on the line and on the circle, covering the range .…
Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity
Benjamin Harrop-Griffiths, Maria Ntekoume
We first prove homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity introduced in [19]. We then investigate how solutions fluctuate about the homogeniz…
The nonlinear Schrödinger equation with sprinkled nonlinearity
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We prove global well-posedness for the cubic nonlinear Schrödinger equation with nonlinearity concentrated on a homogeneous Poisson process.
Global well-posedness for the derivative nonlinear Schrödinger equation in
Benjamin Harrop-Griffiths, Rowan Killip, Maria Ntekoume +1
We prove that the derivative nonlinear Schrödinger equation in one space dimension is globally well-posed on the line in , which is the scaling-critical space for…