Stability and time decay rates of the 2D magneto-micropolar equations with partial dissipation

This paper studies the stability and decay estimates of solutions to the two-dimensional (2D) magneto-micropolar fluid equations with partial dissipation. We first establish the L-2-decay estimates for global solutions and their derivative with initial data in L-1 (R-2). Furthermore, we show the global stability of these solutions in H-s (R-2), and the decay rates of these global solutions and their higher derivatives when the initial data belongs to the negative Sobolev space H-1 (R-2) (for each 0 <= l < 1).