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An optimal control problem with feedback for a mathematical model of the motion of weakly concentrated water polymer solutions with objective derivative

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Abstract

We study a problem with feedback for a mathematical model of the motion of weakly concentrated water polymer solutions with smoothed Jaumann objective derivative. We prove the existence of an optimal solution yielding the minimum of a specified bounded lower semicontinuous quality functional. To establish the existence of an optimal solution, we use the topological approximation method for studying problems of hydrodynamics.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    A. V. Zvyagin

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  1. A. V. Zvyagin
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Correspondence to A. V. Zvyagin.

Additional information

Original Russian Text Copyright © 2013 Zvyagin A.V.

The author was supported by the Russian Foundation for Basic Research (Grants 12-01-31188; 13-01-00041).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 4, pp. 807–825, July–August, 2013.

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Zvyagin, A.V. An optimal control problem with feedback for a mathematical model of the motion of weakly concentrated water polymer solutions with objective derivative. Sib Math J 54, 640–655 (2013). https://doi.org/10.1134/S003744661304006X

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  • DOI: https://doi.org/10.1134/S003744661304006X

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