A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor |
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Authors: | Zujin Zhang Dingxing Zhong Lin Hu |
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Affiliation: | 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
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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. |
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