On solutions to the Navier-Stokes equations with lower bounds on pressure
Gregory A. Seregin and Vladimír Šverák
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Submission date: 11. Dec. 2001
published in: Archive for rational mechanics and analysis, 163 (2002) 1, p. 65-86
DOI number (of the published article): 10.1007/s002050200199
with the following different title: Navier-Stokes equations with lower bounds on the pressure
MSC-Numbers: 35K, 76D
Keywords and phrases: navier-stokes equations, cauchy problem, weak leray-hopf solutions, suitable weak solutions, pressure, hölder continuity
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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 is controlled.