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.NA2024
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…
math.AP2020
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…