no code implementations • 3 Oct 2020 • Lyonell Boulton, Peter J. Olver, Beatrice Pelloni, David A. Smith
We present and analyse a novel manifestation of the revival phenomenon for linear spatially periodic evolution equations, in the concrete case of three nonlocal equations that arise in water wave theory and are defined by convolution kernels.
Analysis of PDEs Mathematical Physics Mathematical Physics Primary: 35C05. Secondary: 35B65, 35R09
no code implementations • 9 Sep 2020 • David P. Bourne, Charlie Egan, Beatrice Pelloni, Mark Wilkinson
This new proof, based on semi-discrete optimal transport techniques, works by characterising discrete solutions of SG in geostrophic coordinates in terms of trajectories satisfying an ordinary differential equation.
Analysis of PDEs
