Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor

Jiří Neustupa, and Patrick Penel. "Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor." Banach Center Publications 70.1 (2005): 185-197. <http://eudml.org/doc/281620>.

@article{JiříNeustupa2005,
abstract = {We formulate sufficient conditions for regularity up to the boundary of a weak solution v in a subdomain Ω × (t₁,t₂) of the time-space cylinder Ω × (0,T) by means of requirements on one of the eigenvalues of the rate of deformation tensor. We assume that Ω is a cube.},
author = {Jiří Neustupa, Patrick Penel},
journal = {Banach Center Publications},
keywords = {regularity up to the boundary; eigenvalues of the rate of deformation tensor},
language = {eng},
number = {1},
pages = {185-197},
title = {Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor},
url = {http://eudml.org/doc/281620},
volume = {70},
year = {2005},
}

TY - JOUR
AU - Jiří Neustupa
AU - Patrick Penel
TI - Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor
JO - Banach Center Publications
PY - 2005
VL - 70
IS - 1
SP - 185
EP - 197
AB - We formulate sufficient conditions for regularity up to the boundary of a weak solution v in a subdomain Ω × (t₁,t₂) of the time-space cylinder Ω × (0,T) by means of requirements on one of the eigenvalues of the rate of deformation tensor. We assume that Ω is a cube.
LA - eng
KW - regularity up to the boundary; eigenvalues of the rate of deformation tensor
UR - http://eudml.org/doc/281620
ER -