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MiS Preprint
92/2001
On solutions to the Navier-Stokes equations with lower bounds on pressure
Gregory A. Seregin and Vladimír Šverák
Abstract
We prove that weak solutions of the three-dimensional incompressible Navier-Stokes equations are smooth if the negative part of the pressure is controlled, or if the positive part of the quantity $|v|^2 + 2p$ is controlled.
