Dynamics of Partial Differential Equations
Volume 20 (2023)
Local well-posedness and regularity criterion for nonhomogeneous magneto-micropolar fluid equations without angular viscosity
Pages: 197 – 212
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.
nonhomogeneous magneto-micropolar fluid equations, local wellposedness, regularity criterion
2010 Mathematics Subject Classification
Primary 35Q35. Secondary 76D03.
This research was partially supported by National Natural Science Foundation of China (Nos. 11971234, 11901474).
Received 23 October 2022
Published 19 May 2023