We give the estimate for the Stokes semigroup in a perturbed half-space and some global in time existence theorems for small solutions to the Navier-Stokes equation.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-10,
author = {Takayuki Kubo and Yoshihiro Shibata},
title = {On the Stokes and Navier-Stokes flows in a perturbed half-space},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {157-167},
zbl = {1101.35351},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-10}
}
Takayuki Kubo; Yoshihiro Shibata. On the Stokes and Navier-Stokes flows in a perturbed half-space. Banach Center Publications, Tome 68 (2005) pp. 157-167. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-10/