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Optimal control of planar flow of incompressible non-Newtonian fluids
Wachsmuth, Daniel; Roubíček, Tomá s
Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
We consider an optimal control problem for the evolutionary flow of incompressible non-Newtonian fluids in a two-dimensional domain. The existence of optimal controls is proven. Furthermore, we investigate first-order necessary as well as second-order sufficient optimality conditions. The analysis relies on new results providing solutions with bounded gradients for the flow equations.
