Navier-Stokes equations with lower bounds on the pressure

G. Seregin, V. Šverák

Research output: Contribution to journalArticlepeer-review

70 Scopus citations


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 languageEnglish (US)
Pages (from-to)65-86
Number of pages22
JournalArchive For Rational Mechanics And Analysis
Issue number1
StatePublished - May 2002


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