A priori estimate for axially symmetric solutions to the Navier-Stokes equations near the axis of symmetry

Wojciech Zajaczkowski

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arXiv · 1210.1510

A priori estimate for axially symmetric solutions to the Navier-Stokes equations near the axis of symmetry

Wojciech Zajaczkowski

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Abstract

The axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder with boundary slip conditions on the lateral part of its boundary are considered. A priori estimates for solutions with large swirl necessary for a proof of global regular solutions are derived.

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Wojciech Zajaczkowski. 2012-10-04. A priori estimate for axially symmetric solutions to the Navier-Stokes equations near the axis of symmetry. https://arxiv.org/abs/1210.1510

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