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

Gregory Seregin
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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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Gregory Seregin. 2004-10-04. On Smoothness of $L_{3,\infty}$-Solutions to the Navier-Stokes Equations up to Boundary. https://arxiv.org/abs/math/0410056

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