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Regularity of Pressure in the Neighbourhood of Regular Points of Weak Solutions of the Navier-Stokes Equations
Authors:Zdeněk Skalák  Petr Kučera
Institution:(1) Institute of Hydrodynamics ASCR, Pod Patcaronankou 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.
Keywords:Navier-Stokes equations  regularity of weak solutions  regular and singular points
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