Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary

Details Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary

2005-05-10

arxiv.org/abs/math/0505190v1

Mathematics

Analysis of PDEs

Scientific paper

We present some new regularity criteria for ``suitable weak solutions'' of the Navier-Stokes equations near the boundary in dimension three. We prove that suitable weak solutions are H\"older continuous up to the boundary provided that the scaled mixed norm $L^{p,q}_{x,t}$ with $3/p+2/q\leq 2, 2

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