Remarks on regularity criteria for the 3d Navier–Stokes equations

Qiao Liu () and Meiling Pan ()
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Qiao Liu: Central South University
Meiling Pan: Hunan Normal University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 868-875

Abstract: Abstract We study regularity criteria of weak solutions to the three dimensional (3d) incompressible Navier–Stokes equations, and provide several Prodi-Serrin type regularity criteria involving only partial components of the velocity or its gradient on framework of the anisotropic Lebesgue spaces.

Keywords: Navier–Stokes equations; weak solutions; regularity criteria; anisotropic Lebesgue space; 35Q35; 35D30; 35B65 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00310-0

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