REMARKS ON REGULARITY CRITERIA FOR THE 3D NAVIER-STOKES EQUATIONS
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作者:
Wei, Ruiying
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机构:
Shaoguan Univ, Sch Math & Infromat Sci, Guangzhou 512005, Guangdong, Peoples R China
Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaShaoguan Univ, Sch Math & Infromat Sci, Guangzhou 512005, Guangdong, Peoples R China
Wei, Ruiying
[1
,2
]
Li, Yin
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h-index: 0
机构:
Shaoguan Univ, Sch Math & Infromat Sci, Guangzhou 512005, Guangdong, Peoples R China
Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaShaoguan Univ, Sch Math & Infromat Sci, Guangzhou 512005, Guangdong, Peoples R China
Li, Yin
[1
,2
]
机构:
[1] Shaoguan Univ, Sch Math & Infromat Sci, Guangzhou 512005, Guangdong, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
In this article, we study the regularity criteria for the 3D NavierStokes equations involving derivatives of the partial components of the velocity. It is proved that if del(h) (u) over tilde belongs to Triebel-Lizorkin space, del u3 or u3 belongs to Morrey-Campanato space, then the solution remains smooth on [0, T]
机构:
Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China