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arXiv · 2211.02554

A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component

Ahmad M. Alghamdi·Sadek Gala·Maria Alessandra Ragusa
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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 multiplier spaces.

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Ahmad M. Alghamdi, Sadek Gala, Maria Alessandra Ragusa. 2022-11-02. A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component. https://doi.org/10.46298/cm.10267

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