An extension and simpler proof of Berselli–Córdoba’s geometric regularity condition for the Navier–Stokes system

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Abstract

In this short note, we provide an simpler proof of Berselli–Córdoba’s geometric regularity condition for the Navier–Stokes system. Moreover, some interesting extensions are obtained.

Keywords

Regularity criteria
Navier–Stokes equations
Direction of vorticity
Direction of velocity

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