Mark WilkinsonBSc, CASM
Mark [dot] Wilkinson [-at-] maths [dot] ox [dot] ac [dot] uk
Reception: +44 1865 273525
Oxford Centre for Nonlinear PDE,
My main research interests lie in the analysis of Partial Differential Equations which come from condensed matter physics, in particular the theory of nematic liquid crystals.
I have an interest in linking atomistic theories of matter to continuum theories, especially the link between classical mechanics of molecules and the Boltzmann equation. I am also interested in establishing the existence of phase transitions for particle systems in the continuum in the thermodynamic limit.
My supervisors are Professor Sir John Ball FRS and also Dr Arghir Zarnescu, who is now at the University of Sussex.
Dynamic Statistical Scaling in the Landau-de Gennes Theory of Nematic Liquid Crystals, E. Kirr, M. Wilkinson and A. Zarnescu. Preprint available at arXiv:1211.4427.
Strict Physicality of Global Weak Solutions of a Navier-Stokes Q-tensor System with Singular Potential, M. Wilkinson. (submitted) Preprint available at arXiv:1211.6083.
TA for Professor John Ball's class "Dynamics and Energy Minimisation", Michaelmas Term 2010;
TA for Professor Batty's class "Hilbert Spaces", Hilary 2011;
Tutor & TA for Professor Niethammer's class "Fixed Point Methods for Nonlinear PDEs", Hilary 2011;
TA for Dr Mason Porter's class "Statistical Mechanics", Michaelmas 2012.
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