Optimal control of planar flow of incompressible 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
• planar
• flow
• incompressible
• non-Newtonian
• fluids