Manuel Gnann

I am an Assistant Professor with tenure (UD-1) at DIAM, TU Delft. I work on nonlinear (stochastic) partial differential equations describing phenomena in fluid or statistical mechanics. Furthermore, I am interested in modelling with differential equations. I treat 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,P3].

• Stochastic pattern dynamics. See publications [J15,J19,P2].

• 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

• Group Members

• Teaching

• Presentations

A PDF version of my CV can be downloaded here.

Please visit the website of the

Seminar in PDE and Applications

that I am co-organizing.

A postdoc position is advertised here:

Postdoc: Analysis of PDEs

In July I will co-organize a workshop at the Lorentz Center jointly with Lorenzo Giacomelli (Sapienza University Rome), Joost Hulshof (VU Amsterdam), Christina Lienstromberg (Stuttgart University), and Stefanie Sonner (Radboud University Nijmegen) on

Analysis and Numerics of Nonlinear PDEs: Degenerarcies and Free Boundaries