American Institute of Mathematical Sciences

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

 Department of Mathematics and Statistics, Jiangsu Normal University, 101 Shanghai Road, Xuzhou 221116, Jiangsu, China

* Corresponding author: Zhuan Ye

Received  July 2018 Revised  February 2019 Published  July 2019

Fund Project: The author is supported by the National Natural Science Foundation of China (No. 11701232) and the Natural Science Foundation of Jiangsu Province (No. BK20170224)

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 $\mathbb{R}^{3}$ provided that the initial data are sufficiently small. The initial vacuum is allowed.

Citation: Zhuan Ye. Remark on exponential decay-in-time of global strong solutions to 3D inhomogeneous incompressible micropolar equations. Discrete & Continuous Dynamical Systems - B, doi: 10.3934/dcdsb.2019164
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