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A necessary condition of potential blowup for the Navier–Stokes system in half-space

Abstract:

Assuming that T is a potential blow up time for the Navier–Stokes system in &reals;3+, we show that the norm of the velocity field in the Lorenz space L3,q with q < ∞ goes to ∞ as time t approaches T.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00208-016-1488-9

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More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Hilda's College
Role:
Author
Publisher:
Springer Verlag Publisher's website
Journal:
Mathematische Annalen Journal website
Publication date:
2016-10-31
DOI:
EISSN:
1432-1807
ISSN:
0025-5831
Source identifiers:
661365
Keywords:
Pubs id:
pubs:661365
UUID:
uuid:a186bb07-6c0c-4bca-8622-fa8d03fb6a40
Local pid:
pubs:661365
Deposit date:
2017-08-04

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