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On an optimal control problem in the Voigt model of the motion of a viscoelastic fluid

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Abstract

The external feedback control problem in the Voigt model of the motion of a viscoelastic fluid is investigated. To this end, we prove the existence of weak solutions of the initial-boundary problem with the multi-valued right-hand side in the model considered and show the existence of a solution minimizing a given bounded lower semicontinuous functional.

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Authors and Affiliations

  1. Research Mathematical Institute, Voronezh State University, 394006, Voronezh, Russia

    V. G. Zvyagin & M. Yu. Kuzmin

Authors
  1. V. G. Zvyagin
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  2. M. Yu. Kuzmin
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Correspondence to V. G. Zvyagin.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 16, Differential and Functional Differential Equations. Part 2, 2006.

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Zvyagin, V.G., Kuzmin, M.Y. On an optimal control problem in the Voigt model of the motion of a viscoelastic fluid. J Math Sci 149, 1618–1627 (2008). https://doi.org/10.1007/s10958-008-0085-1

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  • DOI: https://doi.org/10.1007/s10958-008-0085-1

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