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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…
math-ph2015
Non-existence of Physical Classical Solutions to Euler's Equations of Rigid Body Dynamics
Mark Wilkinson
We prove that one cannot construct, for arbitrary initial data, global-in-time physical classical solutions to Euler's equations of continuum rigid body mechanics when the constitu…