Optimal feedback control in the problem of the motion of a viscoelastic fluid
Keywords
Optimal control, feedback control, viscoelastic fluid, Navier-Stokes equation, Jeffris-Oldroyd rheological relation, topological degree, condensing multivalued mapAbstract
We study an optimization problem for the feedback control system emerging as a regularized model for the motion of a viscoelastic fluid subject to the Jeffris-Oldroyd rheological relation. The approach includes systems governed by the classical Navier-Stokes equation as a particular case. Using the topological degree theory for condensing multimaps we prove the solvability of the approximating problem and demonstrate the convergence of approximate solutions to a solution of a regularized one. At last we show the existence of a solution minimizing a given convex, lower semicontinuous functional.Downloads
Published
2004-06-01
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1.
OBUKHOVSKIĬ, Valeri, ZECCA, Pietro and ZVYAGIN, Victor G. Optimal feedback control in the problem of the motion of a viscoelastic fluid. Topological Methods in Nonlinear Analysis. Online. 1 June 2004. Vol. 23, no. 2, pp. 323 - 337. [Accessed 29 March 2024].
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