JournalszaaVol. 29, No. 3pp. 351–376

Optimal Control of Planar Flow of Incompressible Non-Newtonian Fluids

  • Daniel Wachsmuth

    Technische Universität Berlin, Germany
  • Tomáš Roubíček

    Charles University, Praha, Czech Republic
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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.

Cite this article

Daniel Wachsmuth, Tomáš Roubíček, Optimal Control of Planar Flow of Incompressible Non-Newtonian Fluids. Z. Anal. Anwend. 29 (2010), no. 3, pp. 351–376

DOI 10.4171/ZAA/1412