三维磁微极流体方程组弱解的压力正则性准则

Regularity criteria for the 3D magneto-micropolar equations in terms of the pressure

摘要: 研究磁微极流体方程弱解的正则性,证明了用压力P控制的正则准则.即:如果压力P满足:P∈Lq(0,T;Lp),(3/p)+(2/q)≤2,(3/2)＜p≤∞或∂zP∈Lq(0,T;Lp),(3/p)+(2/q)≤(7/4),(12/7)≤p≤4;则弱解(u,ω,b)在(0,T上是光滑解.

Abstract: Regularity criteria for the 3D magneto-micropolar equations are established in terms of the pressure.We obtain that if pressure P satisfies P∈Lq(0,T;Lp) with (3/p)+(2/q)≤2, and 3/2＜p≤∞ or ∂zP∈Lq(0,T;Lp) with (3/p)+(2/q)≤7/4 and (12/7)≤p≤4;then the weak solution (u,ω,b) is a smooth solution on (0,T.