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 C²-piecewise smooth with possible interior angles between regular components less than π.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-11,
author = {Piotr Bogus\l aw Mucha},
title = {The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {169-183},
zbl = {1101.35352},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-11}
}
Piotr Bogusław Mucha. The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary. Banach Center Publications, Tome 68 (2005) pp. 169-183. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-11/