The paper analyzes the issue of existence of solutions to linear problems in two dimensional exterior domains, linearizations of the Navier-Stokes equations. The systems are studied with a slip boundary condition. The main results prove the existence of distributional solutions for arbitrary data.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-16,
author = {Pawe\l\ Konieczny},
title = {Linear flow problems in 2D exterior domains for 2D incompressible fluid flows},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {243-257},
zbl = {1154.35417},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-16}
}
Paweł Konieczny. Linear flow problems in 2D exterior domains for 2D incompressible fluid flows. Banach Center Publications, Tome 83 (2008) pp. 243-257. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-16/