Dynamics of Partial Differential Equations

Volume 20 (2023)

Number 3

Local well-posedness and regularity criterion for nonhomogeneous magneto-micropolar fluid equations without angular viscosity

Pages: 197 – 212

DOI: https://dx.doi.org/10.4310/DPDE.2023.v20.n3.a2

Authors

Jishan Fan (Department of Applied Mathematics, Nanjing Forestry University, Nanjing, China)

Xin Zhong (School of Mathematics and Statistics, Southwest University, Chongqing, China)

Abstract

We study an initial-boundary-value problem for three-dimensional nonhomogeneous magneto-micropolar fluid equations without angular viscosity. Using linearization and Banach’s fixed point theorem, we prove the local existence and uniqueness of strong solutions. Moreover, a regularity criterion is also obtained.

Keywords

nonhomogeneous magneto-micropolar fluid equations, local wellposedness, regularity criterion

2010 Mathematics Subject Classification

Primary 35Q35. Secondary 76D03.

The full text of this article is unavailable through your IP address: 172.17.0.1

This research was partially supported by National Natural Science Foundation of China (Nos. 11971234, 11901474).

Received 23 October 2022

Published 19 May 2023