Remark on the spatial regularity for the Navier-Stokes equations
Let u be a Leray-Hopf weak solution to the Navier-Stokes equations. We will show that the set of possible singular points of the vector field resulting from integrating the velocity u with respect to time has Hausdorff dimension zero.
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| Format: | Article |
| Language: | English |
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Texas State University
2008-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/120/abstr.html |
| _version_ | 1828405907496632320 |
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| author | Cheng He |
| author_facet | Cheng He |
| author_sort | Cheng He |
| collection | DOAJ |
| description | Let u be a Leray-Hopf weak solution to the Navier-Stokes equations. We will show that the set of possible singular points of the vector field resulting from integrating the velocity u with respect to time has Hausdorff dimension zero. |
| first_indexed | 2024-12-10T11:03:05Z |
| format | Article |
| id | doaj.art-e150349f897a4e9bb0bc47f223a17f00 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T11:03:05Z |
| publishDate | 2008-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-e150349f897a4e9bb0bc47f223a17f002022-12-22T01:51:39ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-08-012008120,16Remark on the spatial regularity for the Navier-Stokes equationsCheng HeLet u be a Leray-Hopf weak solution to the Navier-Stokes equations. We will show that the set of possible singular points of the vector field resulting from integrating the velocity u with respect to time has Hausdorff dimension zero.http://ejde.math.txstate.edu/Volumes/2008/120/abstr.htmlPartial regularityNavier-Stokes equationsLeray-Hopf weak solution |
| spellingShingle | Cheng He Remark on the spatial regularity for the Navier-Stokes equations Electronic Journal of Differential Equations Partial regularity Navier-Stokes equations Leray-Hopf weak solution |
| title | Remark on the spatial regularity for the Navier-Stokes equations |
| title_full | Remark on the spatial regularity for the Navier-Stokes equations |
| title_fullStr | Remark on the spatial regularity for the Navier-Stokes equations |
| title_full_unstemmed | Remark on the spatial regularity for the Navier-Stokes equations |
| title_short | Remark on the spatial regularity for the Navier-Stokes equations |
| title_sort | remark on the spatial regularity for the navier stokes equations |
| topic | Partial regularity Navier-Stokes equations Leray-Hopf weak solution |
| url | http://ejde.math.txstate.edu/Volumes/2008/120/abstr.html |
| work_keys_str_mv | AT chenghe remarkonthespatialregularityforthenavierstokesequations |