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A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor
Authors:Zujin Zhang  Dingxing Zhong  Lin Hu
Institution:1. College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, 341000, Jiangxi, P.R. China
2. School of Science, Jiangxi University of Science and Technology, Ganzhou, 341000, Jiangxi, P.R. China
Abstract:We consider the Cauchy problem for the incompressible Navier-Stokes equations in R 3, and provide a new regularity criterion involving only two entries of the Jacobian matrix of the velocity field.
Keywords:
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