Remark on exponential decay-in-time of global strong solutions to 3D inhomogeneous incompressible micropolar equations

Abstract

This paper addresses the Cauchy problem of the three-dimensional inhomogeneous incompressible micropolar equations. We prove the global existence and exponential decay-in-time of strong solution with vacuum over the whole space \begin{document}$ \mathbb{R}^{3} $\end{document} provided that the initial data are sufficiently small. The initial vacuum is allowed.