The role of the pressure in the partial regularity theory for weak   solutions of the Navier--Stokes equations
  We study the role of the pressure in the partial regularity theory for weak solutions of the Navier--Stokes equations. By introducing the notion of dissipative solutions, due to Duchon \& Robert, we will provide a generalization of the Caffarelli, Kohn and Nirenberg theory. Our approach gives a new enlightenment of the role of the pressure in this theory in connection to Serrin's local regularity criterion. 
Diego Chamorro (LaMME), Pierre-Gilles Lemari\'e-Rieusset (LaMME),   Kawther Mayoufi (LaMME)
math.AP