On some optimal control problem in the Voigt model of the motion of a~viscoelastic fluid
Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 2, Tome 16 (2006), pp. 38-46

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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.
@article{CMFD_2006_16_a3,
     author = {V. G. Zvyagin and M. Yu. Kuz'min},
     title = {On some optimal control problem in the {Voigt} model of the motion of a~viscoelastic fluid},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {38--46},
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     volume = {16},
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     url = {http://geodesic.mathdoc.fr/item/CMFD_2006_16_a3/}
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V. G. Zvyagin; M. Yu. Kuz'min. On some optimal control problem in the Voigt model of the motion of a~viscoelastic fluid. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 2, Tome 16 (2006), pp. 38-46. http://geodesic.mathdoc.fr/item/CMFD_2006_16_a3/