A Regularity Criterion for Positive Part of Radial Component in the Case of Axially Symmetric Navier-Stokes Equations

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 type condition and in additi...

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Bibliographic Details
Main Author: Kubica Adam
Format: Article
Language:English
Published: De Gruyter 2015-03-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2015.48.issue-1/dema-2015-0006/dema-2015-0006.xml?format=INT