Global well-posedness of three-dimensional magneto-micropolar fluid equations with partial dissipation

Abstract

In this paper, the three-dimensional magneto-micropolar fluid equations with partial dissipation is studied on ${\mathbb{R}}^3$. The main purpose of this paper is to establish global solutions with a small initial value. More specifically, we demonstrate the global stability of the perturbation solutions near the background magnetic field. The proof is mainly based on the energy estimate, the tricky interpolation techniques and bootstrapping argument.

Keywords:

• Magneto-micropolar fluid equations
• partial dissipation
• global well-posedness
• global stability

2020 Mathematics Subject Classifications:

• 76E25
• 35B35

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported in part by the NNSF of China [grant number 11871212] and the Basic Research Project of Key Scientific Research Project Plan of Universities in Henan Province [grant number 20ZX002].