Pontryagin’s Principle for Optimal Control Problem Governed by 3D Navier–Stokes Equations

B. T. Kien (), A. Rösch () and D. Wachsmuth ()
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B. T. Kien: Vietnam Academy of Science and Technology
A. Rösch: University of Duisburg-Essen
D. Wachsmuth: Wurzburg University

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 1, No 2, 30-55

Abstract: Abstract This paper deals with the Pontryagin maximum principle for optimal control problems governed by 3D Navier–Stokes equations with pointwise control constraint. The obtained result is proved by using some results on regularity of solutions of the Navier–Stokes equations and techniques of optimal control theory.

Keywords: Optimal control; Navier–Stokes equation; Pontryagin’s principle; Strong solution; Control constraint; 49K20; 93B50; 93C05; 93C20; 93C35; 76D05; 65J15 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-017-1081-8

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