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 |
| Summary: | 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]. |
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| ISSN: | 1072-6691 |