7 citations · 23 across the 10 of their papers we have counts for
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math.AP2018★ 1 cited
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-…
math.AP2018★ 2 cited
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…
math-ph2018★ 1 cited
On the Initial Boundary-Value Problem in the Kinetic Theory of Hard Particles II: Non-uniqueness
Mark Wilkinson
We prove that to each initial datum in a set of positive measure in phase space, there exist uncountably-many associated weak solutions of Newton's equations of motion which govern…