Navier-Stokes equations with lower bounds on the pressure

G. Seregin; V. Šverák

doi:10.1007/s002050200199

Navier-Stokes equations with lower bounds on the pressure

G. Seregin
, V. Šverák

School of Mathematics

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

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.

Original language	English (US)
Pages (from-to)	65-86
Number of pages	22
Journal	Archive For Rational Mechanics And Analysis
Volume	163
Issue number	1
DOIs	https://doi.org/10.1007/s002050200199
State	Published - May 2002

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title = "Navier-Stokes equations with lower bounds on the pressure",

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.",

author = "G. Seregin and V. {\v S}ver{\'a}k",

year = "2002",

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Navier-Stokes equations with lower bounds on the pressure

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