ASYMPTOTIC STABILITY FOR MICROPOLAR FLUIDS EQUATIONS

We study the stability of large solutions of the equations for the motion of micropolar fluids in bounded three-dimensional domains. Under suitable conditions on the linear velocity, we prove that a strong local solution becomes a strong global solution, then we prove that when both initial data and the external forces are subject to small perturbations, the global solutions are stable. The exponential stability and decay are also proved under additional conditions. We emphasize that our result does not require additional information on the microrotational velocity.