Electron. J. Diff. Eqns., Vol. 2006(2006), No. 75, pp. 1-10.

Conditions for the local regularity of weak solutions of the Navier-Stokes equations near the boundary

Petr Kucera, Zdenek Skalak

Abstract:
In this paper we present conditions for the local regularity of weak solutions of the Navier-Stokes equations near the smooth boundary.

Submitted May 20, 2005. Published July 10, 2006.
Math Subject Classifications: 35Q35, 35B65.
Key Words: Navier-Stokes equations; weak solutions; boundary regularity.

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Petr Kucera
Department of Mathematics
Faculty of Civil Engineering
Czech Technical University, Thakurova 7
166 29 Prague 6, Czech Republic
email: kucera@mat.fsv.cvut.cz
Zdenek Skalak
Institute of Hydrodynamics
Czech Academy of Sciences
Pod Patankou 30/5
166 12 Prague 6, Czech Republic
email: skalak@ih.cas.cz, skalak@mat.fsv.cvut.cz

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