On the Stokes equation with Neumann boundary condition

Yoshihiro Shibata, and Senjo Shimizu. "On the Stokes equation with Neumann boundary condition." Banach Center Publications 70.1 (2005): 239-250. <http://eudml.org/doc/282163>.

@article{YoshihiroShibata2005,
abstract = {In this paper, we study the nonstationary Stokes equation with Neumann boundary condition in a bounded or an exterior domain in ℝⁿ, which is the linearized model problem of the free boundary value problem. Mainly, we prove $L_p - L_q$ estimates for the semigroup of the Stokes operator. Comparing with the non-slip boundary condition case, we have the better decay estimate for the gradient of the semigroup in the exterior domain case because of the null force at the boundary.},
author = {Yoshihiro Shibata, Senjo Shimizu},
journal = {Banach Center Publications},
keywords = { estimates; Stokes semigroup; exterior domain; - estimates},
language = {eng},
number = {1},
pages = {239-250},
title = {On the Stokes equation with Neumann boundary condition},
url = {http://eudml.org/doc/282163},
volume = {70},
year = {2005},
}

TY - JOUR
AU - Yoshihiro Shibata
AU - Senjo Shimizu
TI - On the Stokes equation with Neumann boundary condition
JO - Banach Center Publications
PY - 2005
VL - 70
IS - 1
SP - 239
EP - 250
AB - In this paper, we study the nonstationary Stokes equation with Neumann boundary condition in a bounded or an exterior domain in ℝⁿ, which is the linearized model problem of the free boundary value problem. Mainly, we prove $L_p - L_q$ estimates for the semigroup of the Stokes operator. Comparing with the non-slip boundary condition case, we have the better decay estimate for the gradient of the semigroup in the exterior domain case because of the null force at the boundary.
LA - eng
KW - estimates; Stokes semigroup; exterior domain; - estimates
UR - http://eudml.org/doc/282163
ER -