Author(s) :
Daniel Wachsmuth
,
Tomáš 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.