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