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math.AP2020
New Revival Phenomena for Linear Integro-Differential Equations
Lyonell Boulton, Peter J. Olver, Beatrice Pelloni +1
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 aris…
math.AP2020★ 5 cited
Semi-discrete optimal transport methods for the semi-geostrophic equations
David P. Bourne, Charlie P. Egan, Beatrice Pelloni +1
We give a new and constructive proof of the existence of global-in-time weak solutions of the 3-dimensional incompressible semi-geostrophic equations (SG) in geostrophic coordinate…