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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| Materyal Türü: | Journal article |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
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 |