2 papers
math.AP2026
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.OC2025
A definition of the background state of the atmosphere using optimal transport
Charlie Egan, John Methven, David P. Bourne +1
The dynamics of atmospheric disturbances are often described in terms of displacements of air parcels relative to their locations in a notional background state. Modified Lagrangia…