Analysis Seminar 2025/26

This is work in collaboration with David Bourne and two former PhD students. We have used semi-discrete optimal transport to give new proofs of existence and regularity of weak solutions to a system of equations, both incompressible and compressible, modelling large-scale atmospheric flows.  This method also yields the first fully 3D numerical simulations, and several new theoretical side results. More generally, I can discuss the formulation of a variety of geophysical fluid problems using optimal transport, yielding naturally the proof of physically conjectured properties.