Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure

We prove a regularity criterion ∇À∈L2/3(0,T;BMO) for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the available result with L2/3(0,T;L∞).

Bibliographic Details
Main Authors: Tohru Ozawa, Jishan Fan
Format: Article
Language:English
Published: SpringerOpen 2008-11-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/412678