The Eulerian limit and the slip boundary conditions—admissible irregularity of the boundary
Volume 70 / 2005
Banach Center Publications 70 (2005), 169-183
MSC: 76D09, 76D03, 76B03.
DOI: 10.4064/bc70-0-11
Abstract
We investigate the inviscid limit for the stationary Navier-Stokes equations in a two dimensional bounded domain with slip boundary conditions admitting nontrivial inflow across the boundary. We analyze admissible regularity of the boundary necessary to obtain convergence to a solution of the Euler system. The main result says that the boundary of the domain must be at least $C^2$-piecewise smooth with possible interior angles between regular components less than $\pi$.
