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Jonas Sauer (FSU Jena): Well-Posedness of the Stokes Equations on a Wedge with Navier-Slip Boundary Conditions

@Mathematics
  • Date: 11/04/2024
  • Time: 15:15
  • Place: Room 2404

Zoom Link:
https://uni-kassel.zoom.us/j/96217091997?pwd=RVRaVVBRclFJYU9jczNZSWF3SXI2QT09

Meeting ID: 962 1709 1997
Passcode: cauchy

 

Abstract:

I will present well-posedness and regularity results in a certain class of weighted Sobolev spaces for the stationary and incompressible Stokes equations subject to Navier-slip boundary conditions on two-dimensional wedge-shaped domains. The novelty of these results is the combination of an unbounded wedge-type domain and the Navier-slip boundary condition which is not scaling invariant. The resulting difficulties are overcome by first constructing a variational solution in a second order weighted Sobolev space and subsequently proving higher regularity up to the tip of the wedge by employing an iterative scheme. The talk is based on

  • Marco Bravin, Manuel Gnann, Hans Knüpfer, Nader Masmoudi, Floris Roodenburg, and Jonas Sauer. Well-Posedness of the Stokes Equations on a Wedge with Navier-Slip Boundary Conditions. arXiv:2407.15517.

Tea and coffe will be served at 14:45 in room 1404.

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