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 ; Patrick Penel
Banach Center Publications, Tome 68 (2005), p. 185-197 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281620 
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     author = {Ji\v r\'\i\ Neustupa and Patrick Penel},
     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},
     journal = {Banach Center Publications},
     volume = {68},
     year = {2005},
     pages = {185-197},
     zbl = {1101.35353},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-12}
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Jiří Neustupa; 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, Tome 68 (2005) pp. 185-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc70-0-12/