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Navier-Stokes Equations with Lower Bounds on the Pressure

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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.

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Authors and Affiliations

  1. Steklov Institute of Mathematics at St.Petersburg¶St.Peterburg, Russia, , , , , , RU

    G. Seregin

  2. School of Mathematics, University of Minnesota¶Minneapolis, USA, , , , , , US

    V. Šverák

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  1. G. Seregin
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  2. V. Šverák
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Accepted January 25, 2002¶Published online May 3, 2002

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Seregin, G., Šverák, V. Navier-Stokes Equations with Lower Bounds on the Pressure. Arch. Rational Mech. Anal. 163, 65–86 (2002). https://doi.org/10.1007/s002050200199

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  • DOI: https://doi.org/10.1007/s002050200199

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