Applications of Mathematics, Vol. 64, No. 4, pp. 397-407, 2019


A logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain

Jishan Fan, Xuanji Jia, Yong Zhou

Received September 12, 2018.   Published online June 12, 2019.

Abstract:  This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain with the Navier-type boundary condition.
Keywords:  regularity criterion; Navier-Stokes system; bounded domain
Classification MSC:  35Q30, 35Q35, 76D05


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Affiliations:   Jishan Fan, Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, People's Republic of China, e-mail: fanjishan@njfu.edu.cn; Xuanji Jia, School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai 519082, Guangdong, People's Republic of China, e-mail: jiaxuanji@mail.sysu.edu.cn; Yong Zhou (corresponding author), School of Mathematics (Zhuhai), Sun Yat-sen University, Zhuhai 519082, Guangdong and Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, People's Republic of China, e-mail: zhouyong3@mail.sysu.edu.cn


 
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