Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan Dynamical systems-based optimal control of incompressible fluids. (English) Zbl 1081.76016 Int. J. Numer. Methods Fluids 46, No. 4, 345-359 (2004). Summary: For optimal control problems related to fluid flow, the choice of an adequate cost functional for suppression of vortices is of significant importance. In this research we propose a cost functional based on a local dynamical system characterization of vortices. The resulting functional is a non-convex function of the velocity gradient tensor. The resulting optimality system describing first-order necessary optimality conditions is derived, a possible strategy for numerical realization of the optimal control problem is provided, and a numerical feasibility study is conducted. Cited in 8 Documents MSC: 76B75 Flow control and optimization for incompressible inviscid fluids 76M30 Variational methods applied to problems in fluid mechanics Keywords:non-convex cost functional; first-order necessary optimality conditions PDFBibTeX XMLCite \textit{M. Hintermüller} et al., Int. J. Numer. Methods Fluids 46, No. 4, 345--359 (2004; Zbl 1081.76016) Full Text: DOI