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Preprint 11-2008

Optimal control of planar flow of incompressible non-Newtonian fluids

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Author(s) : Daniel Wachsmuth , Tomá Roubíček

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 11-2008

MSC 2000

76D55 Flow control and optimization
49K20 Problems involving partial differential equations
76A05 Non-Newtonian fluids

Abstract :
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.

Keywords : Optimal control, non-Newtonian fluids, necessary optimality conditions, sufficient optimality conditions.

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