# PREPRINT 16/2003

G. A. Seregin

## ON SMOOTHNESS OF $L_{3,\infty}$-SOLUTIONS TO THE NAVIER-STOKES EQUATIONS UP TO BOUNDARY

This preprint was accepted November 19, 2003

ABSTRACT:
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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