Regularity criterion for the 3D micropolar fluid equations is investigated. We prove that, for some , if , where and , then the solution can be extended smoothly beyond . The derivative can be substituted with any directional derivative of v.
"Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations." J. Appl. Math. 2011 1 - 12, 2011. https://doi.org/10.1155/2011/456547