4 papers
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…
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…
A Semi-Discrete Optimal Transport Scheme for the 3D Incompressible Semi-Geostrophic Equations
Théo Lavier
We describe a mesh-free three-dimensional numerical scheme for solving the incompressible semi-geostrophic equations based on semi-discrete optimal transport techniques. These resu…
Orlicz-Sobolev inequalities and the Dirichlet problem for infinitely degenerate elliptic operators
Usman Hafeez, Théo Lavier, Lucas Williams +1
We investigate a connection between solvability of the Dirichlet problem for an infinitely degenerate elliptic operator and the validity of an Orlicz-Sobolev inequality in the asso…