标题： 一些新的三维定常磁微极流体方程的Liouville型定理 显示英文标题

标题： Some new Liouville type theorems for the 3D stationary magneto-micropolar fluid equations

摘要： 在本文中，我们研究三维稳态磁微极流体方程的Liouville型定理。 采用迭代过程，利用方程的特殊结构，并结合两种不同的插值不等式的创新组合，我们建立了Liouville型定理，如果光滑解在环形区域上满足关于$L^p$-范数的某些增长条件。 与速度场和磁场相比，我们对角速度施加了最宽松的限制。 更具体地说，我们允许环形区域上角速度的$L^q$-范数以任意次数的多项式增长。 此外，我们还得到了三维稳态微极流体方程的Liouville型定理。 显示英文摘要

摘要： In this paper, we investigate Liouville type theorems for the 3D stationary magneto-micropolar fluid equations. Adopting an iterative procedure, taking advantage of the special structure of the equations and using a novel combination of two different interpolation inequalities, we establish Liouville type theorems if the smooth solution satisfies certain growth conditions in terms of $L^p$-norms on the annuli. Compared with the velocity field and the magnetic field, we raise the most relaxed restriction for the angular velocity. More specifically, we allow $L^q$-norm of the angular velocity on the annuli to grow polynomially at any degree. Besides, we also obtain Liouville type theorems for the 3D stationary micropolar fluid equations.