Global regular axially symmetric solutions to the Navier-Stokes equations

Wojciech Zajaczkowski

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arXiv · 1303.0992

Global regular axially symmetric solutions to the Navier-Stokes equations

Wojciech Zajaczkowski

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Abstract

The existence of global regular axially symmetric solutions to the Navier-Stokes equations in a bounded cylinder is proved. The main step in the proof is a proof of the Holder continuity of the swirl. This gives a possibility to prove global a priori estimate for regular solutions. Then a local solution can be extended step by step in time.

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Wojciech Zajaczkowski. 2013-03-05. Global regular axially symmetric solutions to the Navier-Stokes equations. https://arxiv.org/abs/1303.0992

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