1 citations · 1 across the 2 of their papers we have counts for
3 papers
Local well-posedness for a quasilinear Schrödinger equation with degenerate dispersion
Benjamin Harrop-Griffiths, Jeremy L. Marzuola
We consider a quasilinear Schrödinger equation on for which the dispersive effects degenerate when the solution vanishes. We first prove local well-posedness for suffic…
Compactons and their variational properties for degenerate KdV and NLS in dimension 1
Pierre Germain, Benjamin Harrop-Griffiths, Jeremy L. Marzuola
We analyze the stationary and traveling wave solutions to a family of degenerate dispersive equations of KdV and NLS-type. In stark contrast to the standard soliton solutions for n…
Finite depth gravity water waves in holomorphic coordinates
Benjamin Harrop-Griffiths, Mihaela Ifrim, Daniel Tataru
In this article we consider irrotational gravity water waves with finite bottom. Our goal is two-fold. First, we represent the equations in holomorphic coordinates and discuss the…