On Smoothness of $L_{3,\infty}$-Solutions to the Navier-Stokes Equations up to Boundary

Mathematics – Analysis of PDEs

Scientific paper

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23 pages, preprint PDMI-160/2003

Scientific paper

We show that $L_{3,\infty}$-solutions to the three-dimensional Navier-Stokes
equations near a flat part of the boundary are smooth.

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