Quarterly of Applied Mathematics

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Regularity conditions for the 3D Navier-Stokes equations

Author(s): Jishan Fan; Hongjun Gao
Journal: Quart. Appl. Math. 67 (2009), 195-199.
MSC (2000): Primary 35Q30; Secondary 76D05
Posted: January 8, 2009
MathSciNet review: 2497603
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Abstract | References | Similar articles | Additional information

Abstract: We obtain logarithmic improvements for conditions of regularity in the 3D Navier-Stokes equations.

References:

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Additional Information:

Jishan Fan
Affiliation: Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, People's Republic of China - School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, 210097, People's Republic of China
Email: fanjishan@njfu.com.cn

Hongjun Gao
Affiliation: School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing, 210097, People's Republic of China
Email: gaohj@hotmail.com
PII: S0033-569X-09-01119-7
Keywords: Navier-Stokes equations, vorticity, regularity condition.
Received by editor(s): September 18, 2007
Posted: January 8, 2009
Additional Notes: The first author was supported by NSFC Grant No. 10301014.
The second author was supported by NSFC Grant (No. 10571087, No. 10871097), SRFDP No. 20050319001, NSF of Jiangsu Province BK2006523, NSF of Jiangsu Education Commission No. 05KJB110063 and the Teaching and Research Award Program for Outstanding Young Teachers in Nanjing Normal University (2005-2008).
Dr. Hongjun Gao is the corresponding author.
Copyright of article: Copyright 2009, Brown University
The copyright for this article reverts to public domain after 28 years from publication.

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