This paper investigates the stability of 2D anisotropic micropolar equations near the Couette flow in periodic strip domain T×R. We prove the stability threshold of 13 to this system. More precisely, if the initial perturbations (u(0),w(0)) satisfy ‖(u(0),w(0))‖Hb+1≤ϵν1/3 with b≥2 and ϵ being a small constant, we establish the nonlinear global stability of the system. This stability threshold is expected to be optimal in the sense that it is consistent with the known sharp threshold for Navier-Stokes equations in Sobolev space.
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Li et al. (2026) studied this question.
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