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Matematicheskie Trudy, 2018, Volume 21, Number 2, Pages 181–203
DOI: https://doi.org/10.17377/mattrudy.2018.21.209 (Mi mt345) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions

V. G. Zvyagin, A. V. Zvyagin

Voronezh State University, Voronezh, Russia
Full-text PDF (280 kB) Citations (5)
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DOI: https://doi.org/10.17377/mattrudy.2018.21.209
Abstract: We study an optimal feedback control problem for an initial boundary value problem of a thermoviscoelastic model describing the motion of weakly concentrated water polymer solutions in the presence of dependence of the viscosity on the temprature. We prove the existence of an optimal solution minimizing to a given bounded lower semicontinuous quality functional. For proving the existence of an optimal solution, we use the topological approximation method for studying problems in hydrodynamics.
Key words: optimal feedback control, existence theorem, thermoviscoelasticity, non-Newtonian hydrodynamics.
Funding agency Grant number
Russian Science Foundation 16-11-10125
Russian Foundation for Basic Research 16-01-00370_а
16-31-60075_мол_а_дк
The research of the first author was partially supported (Theorem 2.1) by the Russian Science Foundation (project 16-11-10125 implemented at Voronezh State University) and partially supported (Theorem 3.1) by the Russian Foundation for Basic Research (grant 16-01-00370). The research of the second author (Theorem 2.2) was supported by the Russian Foundation for Basic Research (grant 16-31-60075 mol_a_dk).
Received: 19.01.2018
English version:
Siberian Advances in Mathematics, 2019, Volume 29, Issue 2, Pages 137–152
DOI: https://doi.org/10.3103/S1055134419020044
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: V. G. Zvyagin, A. V. Zvyagin, “Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions”, Mat. Tr., 21:2 (2018), 181–203; Siberian Adv. Math., 29:2 (2019), 137–152
Citation in format AMSBIB
\Bibitem{ZvyZvy18}
\by V.~G.~Zvyagin, A.~V.~Zvyagin
\paper Optimal feedback control for a thermoviscoelastic model of the motion of water polymer solutions
\jour Mat. Tr.
\yr 2018
\vol 21
\issue 2
\pages 181--203
\mathnet{http://mi.mathnet.ru/mt345}
\crossref{https://doi.org/10.17377/mattrudy.2018.21.209}
\elib{https://elibrary.ru/item.asp?id=43040108}
\transl
\jour Siberian Adv. Math.
\yr 2019
\vol 29
\issue 2
\pages 137--152
\crossref{https://doi.org/10.3103/S1055134419020044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067649427}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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