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/