Self-improving bounds for the Navier-Stokes equations

Mathematics – Analysis of PDEs

Scientific paper

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11 pages

Scientific paper

We consider regular solutions to the Navier-Stokes equation and provide an
extension to the Escauriaza-Seregin-Sverak blow-up criterion in the negative
regularity Besov scale, with regularity arbitrarly close to -1. Our results
rely on turning a priori bounds for the solution in negative Besov spaces into
bounds in the positive regularity scale.

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