Click here for my CV.
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
Dr. David Siska
In summary, my main research interests may be classified under the following:
- Mathematical fluid dynamics,
- Singular limit asymptotics,
- (Stochastic) partial differential equations.
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.