Since January 2019 I am Assistant Professor (tenure track) for mathematical analysis at TU Delft. I am interested in (nonlinear) partial differential equations describing phenomena in fluid or statistical mechanics. Furthermore, I am interested in modelling with differential equations. I am treating these problems with methods from applied as well as pure mathematics. Main topics include:
- Martingale solutions to the stochastic thin-film equation. See publication [P1].
- Free boundary problems in fluid mechanics, in particular the problem of a moving contact line. This is linked to degenerate-parabolic partial differential equations. See publications [J4,J5,J7-J12,J14].
- Sample-path estimates estimates for stochastic partial differential equations. See publication [J15].
- Vortex spirals for the Euler equations. See publication [J13].
- Brownian Motion in non-equilibrium (stochastic Stokes equations with rigid-body interaction). See publications [U1,J2,J6].
- Active nonlinear microrheology (nonlinear integro-differential equations for glass-forming colloidal dispersions). See publications [J1,J3].
For more information, you may have a look at the following pages:
Please visit the website of the Seminar in PDE and Applications that I am co-organizing
Delft Institute of Applied Mathematics
Faculty of Electrical Engineering, Mathematics and Computer Science
Delft University of Technology
Office 1.W.680, Building 28
Van Mourik Broekmanweg 6, 2628 XE Delft
P.O. Box 5031, 2600 GA Delft, Netherlands