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

Jishan Fan; Tohru Ozawa

doi:10.1155/2008/412678

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

Jishan Fan, Tohru Ozawa^*

^*Corresponding author for this work

School of Advanced Science and Engineering

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

26 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 language	English
Article number	412678
Journal	Journal of Inequalities and Applications
Volume	2008
DOIs	https://doi.org/10.1155/2008/412678
Publication status	Published - 2008

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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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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AU - Fan, Jishan

AU - Ozawa, Tohru

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

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