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Zeitschrift für Analysis und ihre Anwendungen


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Volume 29, Issue 3, 2010, pp. 351–376
DOI: 10.4171/ZAA/1412

Published online: 2010-06-23

Optimal Control of Planar Flow of Incompressible Non-Newtonian Fluids

Daniel Wachsmuth[1] and Tomáš Roubíček[2]

(1) Technische Universität Berlin, Germany
(2) Charles University, Praha, Czech Republic

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

Wachsmuth Daniel, Roubíček Tomáš: Optimal Control of Planar Flow of Incompressible Non-Newtonian Fluids. Z. Anal. Anwend. 29 (2010), 351-376. doi: 10.4171/ZAA/1412