arXiv:1302.4629 Abstract | arXiv Analytics

arXiv:1302.4629 [math.AP]Abstract References Reviews Resources

Regularity criteria of weak solutions to NSE in some bounded domains involving the pressure

Adam Kubica, Bernard Nowakowski, Wojciech ZajcAczkowski

Published 2013-02-19Version 1

We present a short and elegant proof of an estimate for the pressure in terms of the velocity and external data in bounded domains under the slip and Navier boundary conditions. We also show an application of this result for conditional regularity of weak solutions to the Navier-Stokes equations.

Categories: math.AP

Subjects: 35Q30, 35Q35, 76D03, 76D05

Keywords: weak solutions, bounded domains, regularity criteria, navier boundary conditions, elegant proof

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