A+ CATEGORY SCIENTIFIC UNIT

Several refined regularity criteria for the Navier–Stokes equations

Fan Wu Annales Polonici Mathematici MSC: Primary 35Q30; Secondary 76D03 DOI: 10.4064/ap231210-11-9 Published online: 14 October 2024

Abstract

We establish several refined regularity criteria for the Navier–Stokes equations. Specifically, these criteria require only the control of any two of the velocity gradient functions $\partial _1u_1$, $\partial _2u_2$, and $\partial _3u_3$ in critical spaces.

Authors

  • Fan WuCollege of Science
    Nanchang Institute of Technology
    Nanchang, Jiangxi 330099, P. R. China
    e-mail

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