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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2006 Volume 16, Pages 38–46 (Mi cmfd47)

This article is cited in 7 papers

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

V. G. Zvyagin, M. Yu. Kuz'min

Voronezh State University

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.

UDC: 517.977+517.958


 English version:
Journal of Mathematical Sciences, 2008, 149:5, 1618–1627

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