Jishan Fan, Hongjun Gao
Abstract:
We consider the regularity of weak solutions to the Navier-Stokes
equations in
.
Let
be a weak
solution and
. We prove that
is
strong solution if
satisfy Serrin's type criterion.
Submitted August 28, 2009. Published September 29, 2009.
Math Subject Classifications: 35Q30, 35K15, 76D03.
Key Words: Navier-Stokes equations; regularity criterion;
two component; multiplier spaces; Besov spaces.
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Jishan Fan School of Mathematical Science, Nanjing Normal University, Nanjing, 210097, China Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China email: fanjishan@njfu.com.cn |
Hongjun Gao School of Mathematical Science, Nanjing Normal University Nanjing, 210097, China email: gaohj@njnu.edu.cn |
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