Viscous Incompressible Flows Under Stress-Free Boundary Conditions. The Smoothness Effect of Near Orthogonality
Beirão da Veiga, H.
Bollettino dell'Unione Matematica Italiana, Tome 5 (2012), p. 225-232 / Harvested from Biblioteca Digitale Italiana di Matematica
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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''.

Publié le : 2012-06-01
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     author = {H. Beir\~ao da Veiga},
     title = {Viscous Incompressible Flows Under Stress-Free Boundary Conditions. The Smoothness Effect of Near Orthogonality},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {5},
     year = {2012},
     pages = {225-232},
     zbl = {1256.35049},
     mrnumber = {2977246},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2012_9_5_2_225_0}
}

Beirão da Veiga, H. Viscous Incompressible Flows Under Stress-Free Boundary Conditions. The Smoothness Effect of Near Orthogonality. Bollettino dell'Unione Matematica Italiana, Tome 5 (2012) pp. 225-232. http://gdmltest.u-ga.fr/item/BUMI_2012_9_5_2_225_0/

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