# 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 (2005)

- Volume: 70, Issue: 1, page 185-197
- ISSN: 0137-6934

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topJiří 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 -

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