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Self-improving bounds for the Navier-Stokes equations. (Estimations de bootstrap a priori pour Navier-Stokes.) (English. French summary) Zbl 1260.35105
Summary: 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.

MSC:
35Q30 Navier-Stokes equations
35B44 Blow-up in context of PDEs
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