Jishan Fan, Hongjun Gao
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
| Hongjun Gao |
School of Mathematical Science, Nanjing Normal University
Nanjing, 210097, China
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