Pullback exponential attractors for 3D incompressible magneto-micropolar fluid equations with nonlinear damping

This article mainly investigates the pullback asymptotic behavior of strong solutions to the three-dimensional incompressible magneto-micropolar fluid equations with nonlinear damping. By using energy estimates, it is shown that the evolution process $ \{U(t, \tau)\}_{t\geq\tau} $, generated by the strong solutions of the system, possesses a family of closed and semi-invariant pullback absorbing sets in phase space. Furthermore, by decomposing the process $ \{U(t, \tau)\}_{t\geq\tau} $ into $ S(t, \tau) $, which satisfies a contraction property, and $ C(t, \tau) $, which satisfies a smoothness property, the existence of the pullback exponential attractors and the pullback attractors are obtained.