The Minkowski dimension of boundary singular points in the Navier--Stokes equations

Published 12 May 2018 in math.AP | (1805.04724v3)

Abstract: We study the partial regularity problem of the three-dimensional incompressible Navier--Stokes equations. We present a new boundary regularity criterion for boundary suitable weak solutions. As an application, a bound for the parabolic Minkowski dimension of possible singular points on the boundary is obtained.

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