Optimal Control of Planar Flow of Incompressible Non-Newtonian Fluids | Zendy

Daniel Wachsmuth | Zendy; Tomáš Roubı́ček | Zendy

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Optimal Control of Planar Flow of Incompressible Non-Newtonian Fluids

Author(s) -

Daniel Wachsmuth,

Tomáš Roubı́ček

Publication year - 2010

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1412

Subject(s) - non newtonian fluid , newtonian fluid , planar , compressibility , incompressible flow , flow (mathematics) , mechanics , physics , mathematics , computer science , computer graphics (images)

. 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. Key words. Optimal control, non-Newtonian fluids, necessary optimality condi-

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