Abstract
In this paper, we study regularity of weak solutions to the incompressible Navier–Stokes equations in \(\mathbb {R}^{3}\times (0,T)\). The main goal is to establish the regularity criterion via the gradient of one velocity component in some multiplier spaces.
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The authors thank the referees for their careful reading and helpful suggestions, which improve the paper much.
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This article is part of the section “Applications of PDEs” edited by Hyeonbae Kang.
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Gala, S., Ragusa, M.A. Improved regularity criterion for the 3D Navier–Stokes equations via the gradient of one velocity component. Partial Differ. Equ. Appl. 2, 41 (2021). https://doi.org/10.1007/s42985-021-00096-6
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DOI: https://doi.org/10.1007/s42985-021-00096-6