We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to , where is the multipliers between Sobolev spaces whose definition is given later for , then the Leray-Hopf weak solution to the Navier-Stokes equations is actually regular.
"A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces." Abstr. Appl. Anal. 2012 (SI11) 1 - 7, 2012. https://doi.org/10.1155/2012/682436