Improved regularity criterion for the 3D Navier–Stokes equations via the gradient of one velocity component

Sadek Gala () and Maria Alessandra Ragusa
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Sadek Gala: University of Mostaganem
Maria Alessandra Ragusa: Università di Catania

Partial Differential Equations and Applications, 2021, vol. 2, issue 3, 1-5

Abstract: Abstract In this paper, we study regularity of weak solutions to the incompressible Navier–Stokes equations in $$\mathbb {R}^{3}\times (0,T)$$ R 3 × ( 0 , T ) . The main goal is to establish the regularity criterion via the gradient of one velocity component in some multiplier spaces.

Keywords: Navier–Stokes equations; Regularity criterion; One component; Multiplier spaces; 35Q30; 35K15; 76D03 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00096-6

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