The present paper concerns an initial boundary value problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density. We establish the global existence and exponential decay rates of strong solutions. In particular, the initial data can be arbitrarily large. The key idea is to use a lemma of Desjardins (Arch Rational Mech Anal 137:135–158, 1997).

中文翻译：

---

具有大初始数据和真空的非均匀磁微极性流体方程强解的整体存在性和指数衰减

本文涉及具有非负密度的二维非均匀磁微极性流体方程的初边值问题。我们建立了强解的整体存在性和指数衰减率。特别地，初始数据可以任意大。关键思想是使用Desjardins的引理（Arch Rational Mech Anal 137：135–158，1997）。