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 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.