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

Adam Kubica; Bernard Nowakowski; Wojciech ZajcAczkowski

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arXiv · 1302.4629

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

Adam Kubica·Bernard Nowakowski·Wojciech ZajcAczkowski

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Abstract

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.

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Adam Kubica, Bernard Nowakowski, Wojciech ZajcAczkowski. 2013-02-19. Regularity criteria of weak solutions to NSE in some bounded domains involving the pressure. https://arxiv.org/abs/1302.4629

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