... 11 L C Berselli and G P Galdi, Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations, ” Proceedings of the American Mathematical Society, vol 130, no ... proposed the following criterion in terms of the gradient of ∇π ∈ Lr 0, T ; Ls R3 with s r 3, < s ≤ ∞ ∞ We will use the following The aim of this paper is to refine 1.10 when s interpolation inequality: ... criteria in terms of pressure for the Navier-Stokes equations in R3 ,” Proceedings of the American Mathematical Society, vol 134, no 1, pp 149–156, 2006 15 M Struwe, “On a Serrin-type regularity criterion...