Global regular axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder

Wojciech Zajaczkowski

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arXiv · 1210.1513

Global regular axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder

Wojciech Zajaczkowski

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Abstract

Global regular axially symmetric solutions with large swirl in a cylinder with periodic conditions on the top and on the bottom are proved. On the lateral part of its boundary the boundary slip conditions are assumed. The proof is obtained step by step extending a local solution and showing that the initial data are not increasing.

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Wojciech Zajaczkowski. 2012-10-04. Global regular axially symmetric solutions to the Navier-Stokes equations in a periodic cylinder. https://arxiv.org/abs/1210.1513

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