## IMA Postdoc Seminar (October 27, 2009)

**Speaker:** Konieczny, Pawel (IMA)

**Title:** Thorough analysis of the Oseen system in 2D exterior domains.

**Abstract:**
We construct Lp-estimates for the inhomogeneous stationary Oseen
system studied in a two dimensional exterior domain with inhomogeneous
slip boundary conditions. The main part of the talk is a presentation
of results for the half space $\mathbb{R}2_+$, which are substantial
for the exterior problem. Main tools are given by the Fourier analysis
in order to obtain maximal regularity estimates. In addition, these
optimal estimates show us a difference between points on the boundary
in front of the obstacle and behind the obstacle. The former are
typical for elliptic problems while the latter show disturbance which
is typical for parabolic problems.

**Slides:** PDF