On the Stokes and Navier-Stokes flows in a perturbed half-space
Volume 70 / 2005
Banach Center Publications 70 (2005), 157-167
MSC: Primary 76D07; Secondary 35B40.
DOI: 10.4064/bc70-0-10
Abstract
We give the $L_p$-$L_q$ 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.
