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Two New Regularity Criteria for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

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Abstract

We consider the Cauchy problem for the incompressible Navier-Stokes equations in R 3, and provide two new regularity criteria involving only two entries of the Jacobian matrix of the velocity field.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, 341000, Jiangxi, P.R. China

    Zujin Zhang

  2. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, Guangdong, P.R. China

    Zheng-an Yao, Peng Li, Congchong Guo & Ming Lu

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  1. Zujin Zhang
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  2. Zheng-an Yao
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  3. Peng Li
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  4. Congchong Guo
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  5. Ming Lu
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Correspondence to Zujin Zhang.

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Zhang, Z., Yao, Za., Li, P. et al. Two New Regularity Criteria for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor. Acta Appl Math 123, 43–52 (2013). https://doi.org/10.1007/s10440-012-9712-4

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  • DOI: https://doi.org/10.1007/s10440-012-9712-4

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