3 papers
math.NA2026
A Semi-Discrete Optimal Transport Scheme for the Semi-Geostrophic Slice Compressible Model
Théo Lavier, Beatrice Pelloni
We develop a semi-discrete optimal transport scheme for the compressible semi-geostrophic equations, a system that plays an important role in modelling large-scale atmospheric dyna…
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-ph2011
Solutions of the Fully Compressible Semi-Geostrophic System
M. J. P. Cullen, D. K. Gilbert, B. Pelloni
The fully compressible semi-geostrophic system is widely used in the modelling of large-scale atmospheric flows. In this paper, we prove rigorously the existence of weak Lagrangian…