7 citations · 23 across the 10 of their papers we have counts for
5 papers · 1 filter
Semi-discrete optimal transport methods for the semi-geostrophic equations
David P. Bourne, Charlie P. Egan, Beatrice Pelloni +1
We give a new and constructive proof of the existence of global-in-time weak solutions of the 3-dimensional incompressible semi-geostrophic equations (SG) in geostrophic coordinate…
Local-in-time Physical Solutions of the Incompressible Semi-Geostrophic Equations in Eulerian Coordinates
Mark Wilkinson
We prove the existence of local-in-time smooth solutions of the incompressible semi-geostrophic equations expressed in Eulerian co-ordinates in 3-dimensional smooth bounded simply-…
On Global-in-time Chaotic Weak Solutions of the Liouville Equation for Hard Spheres
Mark Wilkinson
We outline a new method of construction of global-in-time weak solutions of the Liouville equation - and also of the associated BBGKY hierarchy - corresponding to the hard sphere s…
Strict Physicality of Global Weak Solutions of a Navier-Stokes Q-tensor System with Singular Potential
Mark Wilkinson
We study the existence, regularity and so-called `strict physicality' of weak solutions of a coupled Navier-Stokes Q-tensor system which is proposed as a model for the incompressib…
Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals
Eduard Kirr, Mark Wilkinson, Arghir Zarnescu
We investigate the asymptotic behaviour of a correlation function associated with a nematic liquid crystal system undergoing an isotropic-nematic phase transition following an inst…