Jean-Yves Chemin, Fabrice Planchon
Published 2011-11-05, updated 2013-01-04Version 2
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.
Comments: 11 pages, updated references, to appear in Bull. Soc. Math. France
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