@article{Zhang2024, 
author = {Mingyu Zhang},
title = {On the Cauchy problem of 3D nonhomogeneous micropolar fluids with density-dependent viscosity},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {23313-23330},
keywords = {nonhomogeneous micropolar fluids, density-dependent viscosity, global well-posedness},
url = {https://www.sciopen.com/article/10.3934/math.20241133},
doi = {10.3934/math.20241133},
abstract = {In this paper, we considered the global well-posedness of strong solutions to the Cauchy problem of three-dimensional (3D) nonhomogeneous incompressible micropolar fluids with density-dependent viscosity and vacuum. Based on the energy method, some key a priori exponential decay-in-time rates of strong solutions are obtained. As a result, the existence and large-time asymptotic behavior of strong solutions in the whole space  R3 are established, provided that the initial mass is sufficiently small. Note that this result is proven without any compatibility conditions.}
}