A note on bounded scale-invariant quantities for the Navier-Stokes equations
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+...
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Materiálatiipa: | Journal article |
Giella: | English |
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2012
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_version_ | 1826262016562561024 |
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author | Seregin, G |
author_facet | Seregin, G |
author_sort | Seregin, G |
collection | OXFORD |
description | 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. |
first_indexed | 2024-03-06T19:29:41Z |
format | Journal article |
id | oxford-uuid:1d09c90d-311b-4406-8051-dbcbc13588e6 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T19:29:41Z |
publishDate | 2012 |
record_format | dspace |
spelling | oxford-uuid:1d09c90d-311b-4406-8051-dbcbc13588e62022-03-26T11:08:39ZA note on bounded scale-invariant quantities for the Navier-Stokes equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1d09c90d-311b-4406-8051-dbcbc13588e6EnglishSymplectic Elements at Oxford2012Seregin, GIn 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. |
spellingShingle | Seregin, G A note on bounded scale-invariant quantities for the Navier-Stokes equations |
title | A note on bounded scale-invariant quantities for the Navier-Stokes equations |
title_full | A note on bounded scale-invariant quantities for the Navier-Stokes equations |
title_fullStr | A note on bounded scale-invariant quantities for the Navier-Stokes equations |
title_full_unstemmed | A note on bounded scale-invariant quantities for the Navier-Stokes equations |
title_short | A note on bounded scale-invariant quantities for the Navier-Stokes equations |
title_sort | note on bounded scale invariant quantities for the navier stokes equations |
work_keys_str_mv | AT sereging anoteonboundedscaleinvariantquantitiesforthenavierstokesequations AT sereging noteonboundedscaleinvariantquantitiesforthenavierstokesequations |