Geodesic
Viscous Incompressible Flows Under Stress-Free Boundary Conditions. The Smoothness Effect of Near Orthogonality
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 2, pp. 225-232

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We consider the initial boundary value problem for the 3D Navier-Stokes equations under a slip type boundary condition. Roughly speaking, we are concerned with regularity results, up to the boundary, under suitable assumptions on the directions of velocity and vorticity. Our starting point is a recent, interesting, result obtained by Berselli and Córdoba concerning the ``near orthogonal case''. We also consider a ``near parallel case''. 
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     author = {Beir\~ao da Veiga, H.},
     title = {Viscous {Incompressible} {Flows} {Under} {Stress-Free} {Boundary} {Conditions.} {The} {Smoothness} {Effect} of {Near} {Orthogonality}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {225--232},
     publisher = {mathdoc},
     volume = {Ser. 9, 5},
     number = {2},
     year = {2012},
     zbl = {1256.35049},
     mrnumber = {2977246},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_2_a2/}
}
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Beirão da Veiga, H. Viscous Incompressible Flows Under Stress-Free Boundary Conditions. The Smoothness Effect of Near Orthogonality. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 2, pp. 225-232. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_2_a2/