Manuel Gnann

I am an Assistant Professor with tenure (UD-1) 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:

• Higher order moments for SPDE with monotone nonlinearities [P1].

• Martingale solutions to the stochastic thin-film equation. See publications [J16,J17].

• 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,J18].

• Stochastic pattern dynamics. See publications [J15,J19].

• 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:

• Publications

• Curriculum Vitae

• Supervision

• Teaching

• Presentations

Please visit the website of the

Seminar in PDE and Applications

that I am co-organizing.