Remarks on regularity criteria for the 3D Navier-Stokes equations
In this article, we study the regularity criteria for the 3D Navier-Stokes equations involving derivatives of the partial components of the velocity. It is proved that if $\nabla_{h}\widetilde{u}$ belongs to Triebel-Lizorkin space, $\nabla u_3$ or $ u_3$ belongs to Morrey-Campanato space, then t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/232/abstr.html |
| _version_ | 1818173495272538112 |
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| author | Ruiying Wei Yin Li |
| author_facet | Ruiying Wei Yin Li |
| author_sort | Ruiying Wei |
| collection | DOAJ |
| description | In this article, we study the regularity criteria for the 3D Navier-Stokes
equations involving derivatives of the partial components of the velocity.
It is proved that if $\nabla_{h}\widetilde{u}$ belongs to Triebel-Lizorkin
space, $\nabla u_3$ or $ u_3$ belongs to Morrey-Campanato space, then the
solution remains smooth on [0,T]. |
| first_indexed | 2024-12-11T19:29:25Z |
| format | Article |
| id | doaj.art-15c78b543c0f470287fbbcc64a415abe |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T19:29:25Z |
| publishDate | 2014-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-15c78b543c0f470287fbbcc64a415abe2022-12-22T00:53:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-10-012014232,112Remarks on regularity criteria for the 3D Navier-Stokes equationsRuiying Wei0Yin Li1 Shaoguan Univ., Guangdong, China Shaoguan Univ., Guangdong, China In this article, we study the regularity criteria for the 3D Navier-Stokes equations involving derivatives of the partial components of the velocity. It is proved that if $\nabla_{h}\widetilde{u}$ belongs to Triebel-Lizorkin space, $\nabla u_3$ or $ u_3$ belongs to Morrey-Campanato space, then the solution remains smooth on [0,T].http://ejde.math.txstate.edu/Volumes/2014/232/abstr.htmlRegularity criteriaTriebel-Lizorkin spaceMorrey-Campanato space |
| spellingShingle | Ruiying Wei Yin Li Remarks on regularity criteria for the 3D Navier-Stokes equations Electronic Journal of Differential Equations Regularity criteria Triebel-Lizorkin space Morrey-Campanato space |
| title | Remarks on regularity criteria for the 3D Navier-Stokes equations |
| title_full | Remarks on regularity criteria for the 3D Navier-Stokes equations |
| title_fullStr | Remarks on regularity criteria for the 3D Navier-Stokes equations |
| title_full_unstemmed | Remarks on regularity criteria for the 3D Navier-Stokes equations |
| title_short | Remarks on regularity criteria for the 3D Navier-Stokes equations |
| title_sort | remarks on regularity criteria for the 3d navier stokes equations |
| topic | Regularity criteria Triebel-Lizorkin space Morrey-Campanato space |
| url | http://ejde.math.txstate.edu/Volumes/2014/232/abstr.html |
| work_keys_str_mv | AT ruiyingwei remarksonregularitycriteriaforthe3dnavierstokesequations AT yinli remarksonregularitycriteriaforthe3dnavierstokesequations |