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,P3].

• 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,J20].

• 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.

Jointly with Lorenzo Giacomelli (Sapienza University Rome), Joost Hulshof (VU Amsterdam), Christina Lienstromberg (Stuttgart University), and Stefanie Sonner (Radboud University Nijmegen), I co-organize a workshop at the Lorentz Center taking place in July 2023 on

Analysis and Numerics of Nonlinear PDEs: Degenerarcies and Free Boundaries