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Navier-Stokes equations; regularity
We assume that ${\mathbb{v}}$ is a weak solution to the non-steady Navier-Stokes initial-boundary value problem that satisfies the strong energy inequality in its domain and the Prodi-Serrin integrability condition in the neighborhood of the boundary. We show the consequences for the regularity of ${\mathbb{v}}$ near the boundary and the connection with the interior regularity of an associated pressure and the time derivative of ${\mathbb{v}}$.
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