Remarks on the Pressure Regularity Criterion of the Micropolar Fluid Equations in Multiplier Spaces

Abstract EN

This study is devoted to investigating the regularity criterion of weak solutions of the micropolar fluid equations in ℝ3.

The weak solution of micropolar fluid equations is proved to be smooth on (0,T] when the pressure π(x,t) satisfies the following growth condition in the multiplier spaces X˙r, ∫0T∥π(s,·)∥Ẋr2/(2-r)/(1+ln(e+∥π(s,·)∥L2)), ds<∞, and 0≤r≤1.

The previous results on Lorentz spaces and Morrey spaces are obviously improved.