The Double-Logarithmic Regularity Criterion of Pressure for the 3D Navier–Stokes Equations in the Besov Space

Min Liu, Juan Song, Tian-Li Li and Dimitri Mugnai

Journal of Mathematics, 2024, vol. 2024, 1-8

Abstract: In the paper, we consider the regularity of the weak solutions for the incompressible 3D Navier–Stokes (N–S) equations. Our main result is the double-logarithmic regularity criterion of pressure for the 3D Navier–Stokes equations in the Besov space. ∫0TπB˙∞,∞−3/qp/e+lne+πB˙∞,∞−3/qlne+lne+πB˙∞,∞−3/qdt

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2778502

DOI: 10.1155/2024/2778502

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