Logarithmical regularity criteria in terms of pressure for the three   dimensional nonlinear dissipative system modeling electro-diffusion
  In this paper, logarithmically improved regularity criteria for the Navier--Stokes/Poisson--Nernst--Planck system are established in terms of both the pressure and the gradient of pressure in the homogeneous Besov space. 
Jihong Zhao
math.AP