Ahmad M. Alghamdi ; Sadek Gala ; Maria Alessandra Ragusa
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A regularity criterion in multiplier spaces to Navier-Stokes equations
via the gradient of one velocity component
A regularity criterion in multiplier spaces to Navier-Stokes equations
via the gradient of one velocity component
Authors: Ahmad M. Alghamdi ; Sadek Gala ; Maria Alessandra Ragusa
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Ahmad M. Alghamdi;Sadek Gala;Maria Alessandra Ragusa
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.