A criterion for the existence of strong solutions for the 3D Navier–Stokes equations

In this note we provide a criterion for the existence of globally defined solutions for any regular initial data for the 3D Navier–Stokes system in Serrin’s classes.

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Bibliographic Details
Published in:Applied mathematics letters 2013-01, Vol.26 (1), p.15-17
Main Authors: Kasyanov, Pavlo O., Toscano, Luisa, Zadoianchuk, Nina V.
Format: Article
Language:English
Subjects:
3D Navier–Stokes system
Serrin’s class
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Summary:In this note we provide a criterion for the existence of globally defined solutions for any regular initial data for the 3D Navier–Stokes system in Serrin’s classes.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2012.08.007