Geodesic
Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Any weak solution u of the Navier-Stokes equations in a bounded domain satisfying the Prodi-Serrin's conditions locally near the smooth boundary cannot have singular points there. This local-up-to-the-boundary boundedness of u in space-time implies the Holder continuity of u up-to-the-boundary in the space variables.
Classification : 35Q35, 35B65
Keywords: Navier-Stokes equations, weak solutions, boundary regularity 
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     author = {Skalak, Zdenek},
     title = {Regularity of weak solutions of the {Navier-Stokes} equations near the smooth boundary},
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     year = {2005},
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Skalak, Zdenek. Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a87/