7 citations · 7 across the 4 of their papers we have counts for
4 papers
Weyl Group Representation of Billiard Trajectories for One-dimensional Hard Sphere Dynamics
Mark Wilkinson
We present an exact formula for the dynamics of hard spheres of radius on an infinite line which evolve under the assumption that total linear momentum and kinetic energy…
Maximal Codimension Collisions and Invariant Measures for Hard Spheres on a Line
Mark Wilkinson
For any , we study invariant measures of the dynamics of hard spheres whose centres are constrained to lie on a line. In particular, we study the invariant submanifold…
A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions
T. D. Hurst, B. D. Goddard, M. Wilkinson
The Liouville equation is of fundamental importance in the derivation of continuum models for physical systems which are approximated by interacting particles. However, when partic…
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…