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Scaling-Invariant Serrin Criterion via One Row of the Strain Tensor for the Navier–Stokes Equations

Author

Listed:
  • Juan Du

    (School of Mathematics and Informational Technology, Yuncheng University, Yuncheng 044000, China)

  • Fan Wu

    (College of Science, Nanchang Institute of Technology, Nanchang 330099, China)

Abstract

Miller (Arch. Rational Mech. Anal., 2020) posed the question of whether it is possible to prove the Navier–Stokes regularity criterion using only one entry of the strain tensor S i j . Although this paper does not fully address this question, we do establish several scaling-invariant Serrin-type criteria based on one row of the strain tensor.

Suggested Citation

  • Juan Du & Fan Wu, 2024. "Scaling-Invariant Serrin Criterion via One Row of the Strain Tensor for the Navier–Stokes Equations," Mathematics, MDPI, vol. 12(19), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3063-:d:1489254
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    References listed on IDEAS

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    1. Jiří Neustupa & Patrick Penel, 2018. "On Regularity of a Weak Solution to the Navier–Stokes Equations with the Generalized Navier Slip Boundary Conditions," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-7, March.
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