(1) Institute of Hydrodynamics ASCR, Pod Paankou 5, 166 12 Prague 6, Czech Republic;(2) Department of Mathematics, Faculty of Civil Engineering, Czech Technical University, Thákurova 7, 166 29 Prague 6, Czech Republic
Abstract:
In the context of the weak solutions of the Navier-Stokes equations we study the regularity of the pressure and its derivatives in the space-time neighbourhood of regular points. We present some global and local conditions under which the regularity is further improved.