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arXiv · 2201.00153

A Note On Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations

Gregory Seregin
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Abstract

In the paper, a new {\it slightly supercritical} condition, providing {\it local} regularity of axially symmetric solutions to the non-stationary 3D Navier-Stokes equations, is discussed. It generalises almost all known results in the local regularity theory of weak axisymmetric solutions.

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Gregory Seregin. 2022-01-01. A Note On Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations. https://doi.org/10.1007/s00021-022-00667-6

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