MrDanielGoodair

Summary

I am a Research Postgraduate in the Pure Mathematics Section of Imperial College London, in my fourth year of study, working under the supervision of Professor Dan Crisan. I am interested in the theory of stochastic partial differential equations, with a particular emphasis on the evolution equations of fluid dynamics under transport and advection noise on a bounded domain. My main contributions have been towards the well-posedness of stochastic partial differential equations, for an abstract non-linear equation as well as the Euler and Navier-Stokes equations perturbed by differential noise with physical boundary. The introduction of a boundary gives these results significant novelty, a direction I have pursued further by studying the inviscid limit of stochastic Navier-Stokes with different boundary conditions and noise scaling. I am keen to explore the relationship between stochasticity and the boundary layer, including the regularising effect that noise could have.

A complete list of work can be found on my Google Scholar page here.

Publications

Journals