Montag, den 21.10.2024 um 17.00 Uhr in B7 - 210 - Seminarraum A
Vortrag von Prof. Dr. Dominic Breit zu dem Thema: „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.