Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure

Jishan Fan, Tohru Ozawa

    Research output: Contribution to journalArticle

    20 Citations (Scopus)

    Abstract

    We prove a regularity criterion L 2/3 (0,T;BMO) for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the available result with L 2 / 3 (0, T; L ).

    Original languageEnglish
    Article number412678
    JournalJournal of Inequalities and Applications
    Volume2008
    DOIs
    Publication statusPublished - 2008

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    Regularity Criterion
    Navier Stokes equations
    Weak Solution
    Navier-Stokes Equations
    Gradient

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Discrete Mathematics and Combinatorics

    Cite this

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    title = "Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure",
    abstract = "We prove a regularity criterion L 2/3 (0,T;BMO) for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the available result with L 2 / 3 (0, T; L ).",
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