We consider the existence and uniqueness of a time periodic solution for the compressible magneto-micropolar fluids with time periodic forces in a periodic domain. More precisely, under some smallness and symmetry assumptions on the external forces, we prove the existence of the periodic solution by a regularized approximation scheme and the topological degree theory. The uniqueness of the periodic solution is obtained by energy estimates.

中文翻译：

---

周期域中可压缩磁微极性流体时间周期解的存在性和唯一性

我们考虑在周期域中具有时间周期力的可压缩磁微极性流体的时间周期解的存在性和唯一性。更确切地说，在外力的一些小且对称假设下，我们通过正则逼近方案和拓扑度理论证明了周期解的存在。周期解的唯一性是通过能量估计获得的。