Introduction

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My research combines techniques in infinitesimal stochastic analysis and classical analysis to study PDEs arising from the dynamics of fluid. More specifically, I study asymptotic limits to several scaled isothermal compressible fluid equations that are driven by deterministic and/or random forces. Related to this are well-posedness and regularity results for the Navier-Stokes and Euler equations. My PhD supervisor was Dr. Dominic Breit and my examiners were Prof. Eduard Feireisl and Dr. David Siska.

In summary, my main research interests may be classified under the following:

My other research interest is the study of the convergence rates of numerical solutions to nonlinear PDEs in generalized Sobolev spaces, i.e. Orlicz and Sobolev spaces with variable exponents.