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Optimal control in a model of the motion of a viscoelastic medium with objective derivative

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Abstract

In this paper we consider the Jeffreys model of the motion of a viscoelastic incompressible medium with the Yaumann derivative. Within this model we study the optimal control problem for the right-hand sides of the initial boundary value problem. We prove the existence of the optimal strong solution.

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Authors and Affiliations

  1. Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia

    V. G. Zvyagin & A. V. Kuznetsov

Authors
  1. V. G. Zvyagin
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  2. A. V. Kuznetsov
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Correspondence to V. G. Zvyagin.

Additional information

Original Russian Text © V.G. Zvyagin and A.V. Kuznetsov, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 5, pp. 55–61.

(Submitted by V.G. Zvyagin)

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Zvyagin, V.G., Kuznetsov, A.V. Optimal control in a model of the motion of a viscoelastic medium with objective derivative. Russ Math. 53, 48–53 (2009). https://doi.org/10.3103/S1066369X09050065

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  • DOI: https://doi.org/10.3103/S1066369X09050065

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