On the 3D Navier-Stokes equations with regularity in pressure

In this paper, we investigate the global regularity of Leray-Hopf weak solutions to the 3D Navier-Stokes equations in terms of pressure. In particular, we establish three Serrin-type regularity criteria in framework of the anisotropic Lebesgue spaces. Our result can be understood as a generalization of the notable works of Y. Zhou (2006) [23], C. Cao and E. Titi (2008) [5], and Y. Zhou and M. Pokorný (2010) [24].