Biography

I am a PhD student in the Analysis of PDE's group. 

My supervisor is the great Dr Sergey Zelik. And he has taught me a great many varied and interesting things about Partial Differential Equations.

For example did you know that Generalized functions were introduced by Sergei Sobolev in 1935. They were re-introduced in the late 1940s by Laurent Schwartz, who developed a comprehensive theory of distributions.

Maths, what an interesting subject!

Research Interests

I am interested in PDE's. more specifically semilinear evolution equations. I have worked with Coupled Burgers' Equations, which are a simplified model for the turbulence in the Navier Stokes Equations and can be used as a model of Polydispersive Sedimentation.

I'm now working on the Navier Stokes equations in a two dimensional unbounded domain using the uniformly local spaces technique.

Publications

1. GLOBAL WELL-POSEDNESS IN UNIFORMLY LOCAL SPACES FOR THE CAHN-HILLIARD EQUATION IN R³

Pages: 461 - 480, Volume 12, Issue 1, January 2013, Preprint