We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm L(Formula Presented) with 3/p + 2/q = 2, 1 ≤ q < ∞ is sufficiently small in the neighborhood.
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© 2016 Korean Mathematical Society.
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