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

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.

Regularity criteria for the 3D magneto-micropolar equations are established in terms of the pressure.We obtain that if pressure P satisfies P∈L^q（0,T;L^p） with 3/p＋2/q≤2,and 3/2p≤∞ or δzP∈L^q（0,T;L^p） 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].