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  Quarterly of Applied Mathematics
Quarterly of Applied Mathematics
  
Online ISSN 1552-4485; Print ISSN 0033-569X
 

Regularity conditions for the 3D Navier-Stokes equations


Authors: Jishan Fan and Hongjun Gao
Journal: Quart. Appl. Math. 67 (2009), 195-199
MSC (2000): Primary 35Q30; Secondary 76D05
Published electronically: January 8, 2009
MathSciNet review: 2497603
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Abstract: We obtain logarithmic improvements for conditions of regularity in the 3D Navier-Stokes equations.


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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

DOI: http://dx.doi.org/10.1090/S0033-569X-09-01119-7
PII: S 0033-569X(09)01119-7
Keywords: Navier-Stokes equations, vorticity, regularity condition.
Received by editor(s): September 18, 2007
Published electronically: 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.
Article copyright: © Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.



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