By using the spectral Galerkin method, we prove a result on global existence in time of strong solutions for the motion of magneto-micropolar fluid without assuming that the external forces decay with time. We also derive uniform in time estimates of the solution that are useful for obtaining error bounds for the approximate solutions
Key words asymmetric fluid, strong solution, interactive approach, convergence rates MSC (2000) 35Q35, 65M15, 76D03In this work we present a new proof of the existence and uniqueness of strong solutions for the equations of a viscous asymmetric fluids. We use an interactive approach and we prove that the approximate solutions constructed by using this method converge to a strong solution of these equations. We also give convergence-rate bounds for this method.
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