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A note on bounded scale-invariant quantities for the Navier-Stokes equations

Abstract:
In this note, we show that if the velocity field v is in L ∞(BMO -1), then all sealed energy quantities are bounded. An interesting consequence is that every axially symmetric solution to the Navier-Stokes equations belonging to L ∞(BMO -1) is smooth. Bibliography: 7 titles. © 2012 Springer Science+Business Media, Inc.

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Publisher copy:
10.1007/s10958-012-0957-2

Authors


Seregin, G More by this author
Journal:
Journal of Mathematical Sciences (United States)
Volume:
185
Issue:
5
Pages:
742-745
Publication date:
2012-09-05
DOI:
EISSN:
1573-8795
ISSN:
1072-3374
URN:
uuid:1d09c90d-311b-4406-8051-dbcbc13588e6
Source identifiers:
354651
Local pid:
pubs:354651
Language:
English

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