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

arxiv: math/0410056 · v1 · submitted 2004-10-04 · 🧮 math.AP

On Smoothness of L_(3,infty)-Solutions to the Navier-Stokes Equations up to Boundary

Gregory Seregin This is my paper

classification 🧮 math.AP

keywords boundaryequationsinftynavier-stokessolutionsflatnearpart

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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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