Dynamics of Partial Differential Equations

Volume 19 (2022)

Number 4

Global regularity of magneto-micropolar equations with logarithmically dissipation

Pages: 323 – 332

DOI: https://dx.doi.org/10.4310/DPDE.2022.v19.n4.a5

Authors

Jingbo Wu (College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen, China)

Xiaoqin Nan (School of Mathematics and Statistics, Shenzhen University, Shenzhen, China)

Yan Jia (School of Mathematics and Statistics, Shenzhen University, Shenzhen, China)

Abstract

Inspired by a work of Terence Tao on a generalized Navier–Stokes equations (T. Tao, Anal. PDE 2009), we examine in this paper the global regularity of the 3D magneto-micropolar equations with logarithmically hyperdissipative velocity dissipation.

Keywords

magneto-micropolar equations, logarithmical dissipation, global regularity

2010 Mathematics Subject Classification

35B65, 35Q35, 76A10, 76B03

Full Text (PDF format)

The work was partially supported by the National Natural Science Foundation of China (No. 11871346), and by the Science support funds of Shenzhen City (No. 20200805101524001).

Received 23 May 2022

Published 14 December 2022