Self-improving bounds for the Navier-Stokes equations
Analysis of PDEs
2013-01-07 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1111.1356,
title = {Self-improving bounds for the Navier-Stokes equations},
author = {Jean-Yves Chemin and Fabrice Planchon},
journal= {arXiv preprint arXiv:1111.1356},
year = {2013}
}
Comments
11 pages, updated references, to appear in Bull. Soc. Math. France