A necessary condition of potential blowup for the Navier–Stokes system in half-space
<p>Assuming that <i>T</i> is a potential blow up time for the Navier–Stokes system in &reals;<sup>3</sup><sub style="position: relative; left: -.8em;">+</sub>, we show that the norm of the velocity field in the Lorenz space <i>L</...
| Main Authors: | , |
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| Format: | Journal article |
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Springer Verlag
2016
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| _version_ | 1797085848640946176 |
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| author | Barker, T Seregin, G |
| author_facet | Barker, T Seregin, G |
| author_sort | Barker, T |
| collection | OXFORD |
| description | <p>Assuming that <i>T</i> is a potential blow up time for the Navier–Stokes system in &reals;<sup>3</sup><sub style="position: relative; left: -.8em;">+</sub>, we show that the norm of the velocity field in the Lorenz space <i>L</i><sup>3,<i>q</i></sup> with <i>q</i> < ∞ goes to ∞ as time <i>t</i> approaches <i>T</i>.</p> |
| first_indexed | 2024-03-07T02:13:45Z |
| format | Journal article |
| id | oxford-uuid:a186bb07-6c0c-4bca-8622-fa8d03fb6a40 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:13:45Z |
| publishDate | 2016 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:a186bb07-6c0c-4bca-8622-fa8d03fb6a402022-03-27T02:13:47ZA necessary condition of potential blowup for the Navier–Stokes system in half-spaceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a186bb07-6c0c-4bca-8622-fa8d03fb6a40Symplectic Elements at OxfordSpringer Verlag2016Barker, TSeregin, G <p>Assuming that <i>T</i> is a potential blow up time for the Navier–Stokes system in &reals;<sup>3</sup><sub style="position: relative; left: -.8em;">+</sub>, we show that the norm of the velocity field in the Lorenz space <i>L</i><sup>3,<i>q</i></sup> with <i>q</i> < ∞ goes to ∞ as time <i>t</i> approaches <i>T</i>.</p> |
| spellingShingle | Barker, T Seregin, G A necessary condition of potential blowup for the Navier–Stokes system in half-space |
| title | A necessary condition of potential blowup for the Navier–Stokes system in half-space |
| title_full | A necessary condition of potential blowup for the Navier–Stokes system in half-space |
| title_fullStr | A necessary condition of potential blowup for the Navier–Stokes system in half-space |
| title_full_unstemmed | A necessary condition of potential blowup for the Navier–Stokes system in half-space |
| title_short | A necessary condition of potential blowup for the Navier–Stokes system in half-space |
| title_sort | necessary condition of potential blowup for the navier stokes system in half space |
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