Skip to main content
Institute of Mathematics
➔ Start your studies with us

Advanced seminar AG Mathematical Modeling

Monday, 21.10.2024 at 17.00 in B7 - 210 - Seminar room A

 

Lecture by Prof. Dr. Dominic Breit on the topic: "The Stokes problem with Navier boundary conditions in irregular domains".

Abstract:

We consider the steady Stokes equations supplemented with Navier boundary conditions including a non-negative friction coefficient. We prove maximal regularity estimates (including the prominent spaces $W^{1,p}$ and $W^{2,p}$ for $p\in(1,\infty)$ for the velocity field) in bounded domains of minimal regularity. Interestingly, exactly one derivative more is required for the local boundary charts compared to the case of no-slip boundary conditions. We demonstrate the sharpness of our results by a propos examples.

This is joint work with Sebastian Schwarzacher.

Back