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arXiv · 1206.4567

Remarks on Regularity Criteria for Axially Symmetric Weak Solutions to the Navier-Stokes Equations, II

Adam Kubica
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Abstract

We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if positive part of the radial component of velocity satisfies a weighted Serrin condition and in addition angular component satisfies some condition, then the solution is regular.

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Adam Kubica. 2012-06-20. Remarks on Regularity Criteria for Axially Symmetric Weak Solutions to the Navier-Stokes Equations, II. https://doi.org/10.1002/mma.1586

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