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Local regularity for suitable weak solutions of the Navier-Stokes equations

Abstract:
A class of conditions sufficient for local regularity of suitable weak solutions of the non-stationary three-dimensional Navier-Stokes equations is discussed. The corresponding results are formulated in terms of functionals invariant with respect to the scaling of the Navier-Stokes equations. The well-known Caffarelli-Kohn-Nirenberg condition is contained in the class as a particular case.
Publication status:
Published

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Publisher copy:
10.1070/RM2007v062n03ABEH004415

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Journal:
RUSSIAN MATHEMATICAL SURVEYS More from this journal
Volume:
62
Issue:
3
Pages:
595-614
Publication date:
2007-01-01
Event title:
Workshop on Mathematical Hydrodynamics
DOI:
EISSN:
1468-4829
ISSN:
0036-0279

Keywords:
Pubs id:
pubs:14917
UUID:
uuid:51eee306-57b0-4c53-bccf-59fb7c6e9a68
Local pid:
pubs:14917
Source identifiers:
14917
Deposit date:
2012-12-19

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