A Regularity Criterion for the Navier-Stokes Equations in the Multiplier Spaces

作者：Zhu Xiang'ou^*

来源：Abstract and Applied Analysis, 2012, 682436.

DOI：10.1155/2012/682436

We exhibit a regularity condition concerning the pressure gradient for the Navier-Stokes equations in a special class. It is shown that if the pressure gradient belongs to L-2/(2 r) ((0, T); M(H-r (R-3) -> H-r (R-3))), where M(H-r (R-3) -> H-r (R-3)) is the multipliers between Sobolev spaces whose definition is given later for 0 < r < 1, then the Leray-Hopf weak solution to the Navier-Stokes equations is actually regular.

• 出版日期2012
• 单位温州大学