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

Juan Du and Fan Wu ()
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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

Mathematics, 2024, vol. 12, issue 19, 1-11

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.

Keywords: Navier–Stokes equations; Serrin-type criteria; weak solutions; strain tensor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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