Manuel Gnann

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:

• Publications
• Curriculum Vitae
• Teaching Experience
• Presentations

Please visit the website of the Seminar in PDE and Applications that I am co-organizing