On Smoothness of L_3,∞-Solutions to the Navier-Stokes Equations up to Boundary

2004/10/04 by Gregory Seregin, Seregin, Gregory
Mathematics · #35K #76D #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35K #msc:76D

paper · pdf · doi:10.48550/arxiv.math/0410056

23 pages, preprint PDMI-160/2003

arxiv created 2004/10/04 · arxiv updated 2009/12/01

Abstract

We show that L_3,∞-solutions to the three-dimensional Navier-Stokes equations near a flat part of the boundary are smooth.

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