Ruiying Wei, Yin Li
Abstract:
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
belongs to Triebel-Lizorkin
space,
or
belongs to Morrey-Campanato space, then the
solution remains smooth on [0,T].
Submitted June 23, 2014. Published October 29, 2014.
Math Subject Classifications: 35Q35, 76D05.
Key Words: Regularity criteria; Triebel-Lizorkin space; Morrey-Campanato space.
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Ruiying Wei School of Mathematics and Information Science Shaoguan University Shaoguan, Guangdong 512005, China email: weiruiying521@163.com | |
Yin Li School of Mathematics and Information Science Shaoguan University Shaoguan, Guangdong 512005, China email: liyin2009521@163.com |
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