Beirão da Veiga, H.:
Viscous Incompressible Flows Under Stress-Free Boundary Conditions. The Smoothness Effect of Near Orthogonality
Bollettino dell'Unione Matematica Italiana Serie 9 5 (2012), fasc. n.2, p. 225-232, (English)
pdf (259 Kb), djvu (76 Kb). | MR 2977246 | Zbl 1256.35049
Sunto
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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Con il contributo del Ministero per i Beni e le Attività Culturali