Regularity criterion for weak solutions to the Navier–Stokes equations in terms of the pressure in the class L2(0,T;B.∞,∞−1(R3))

The goal of this paper is to establish a Serrin-type regularity criterion in terms of pressure for Leray weak solutions to the Navier–Stokes equations in R3R3. It is proved that if the pressure belongs to L2(0,T;B.∞,∞−1(R3)), then the weak solution is actually regular. This improves a result established in a recent work by the second author Gala (2011) [19].