Contacting Members

Mark Wilkinson

Mark Wilkinson

Mark Wilkinson

BSc, CASM

eMail: Mark [dot] Wilkinson [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

Phone Number(s):

Reception/Secretary: +44 1865 273525
Direct: +44 1865 615114

Office: RI.1.25

Preferred Address:

Oxford Centre for Nonlinear PDE,
Mathematical Institute,
University of Oxford,
24-29 St Giles'
Oxford.
OX1 3LB

Departmental Address:

Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England

Research Interests: 

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.

Major/Recent Publications: 

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.

Teaching: 

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. 
Last updated by on Sat, 01/12/2012 - 11:33am.
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