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A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations

Grigory Seregin, Wojciech Zajaczkowski

math.AParXiv:math/0702720

Abstract

In the present paper, we prove a sufficient condition of local regularity for suitable weak solutions to the Navier-Stokes equations having axial symmetry. Our condition is an axially symmetric analog of the so-called L3,∞-case in the general local regularity theory.

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