Abstract
The formulation, analysis, and numerical solution of distributed optimal control problems governed by lambda-omega systems is presented. These systems provide a universal model for reaction-diffusion phenomena with turbulent behavior. Existence and regularity properties of solutions to the free and controlled lambda-omega models are investigated. To validate the ability of distributed control to drive lambda-omega systems from a chaotic to an ordered state, a space-time multigrid method is developed based on a new smoothing scheme. Convergence properties of the multigrid scheme are discussed and results of numerical experiments are reported.
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