We study the convergence in the vanishing viscosity limit of the stationary incompressible Navier-Stokes equation towards the stationary Euler equation, in the presence of an arbitrary force term. This requires that the fluid is allowed to pass through some open part of the boundary.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-3, author = {Olivier Glass and Piotr Bogus\l aw Mucha}, title = {Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains}, journal = {Applicationes Mathematicae}, volume = {35}, year = {2008}, pages = {49-67}, zbl = {1139.76017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-3} }
Olivier Glass; Piotr Bogusław Mucha. Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains. Applicationes Mathematicae, Tome 35 (2008) pp. 49-67. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-1-3/