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20202025
most citedA new implementation of the geometric method for solving the Eady slice equations

7 citations · 12 across the 4 of their papers we have counts for

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math.AP2025

Semi-discrete optimal transport techniques for the compressible semi-geostrophic equations

David P. Bourne, Charlie P. Egan, Théo Lavier +1

We prove existence of weak solutions of the 3D compressible semi-geostrophic (SG) equations with compactly supported measure-valued initial data. These equations model large-scale…

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…