Abstract:
We consider a temperature control problem based on the heat equation with a convective term and a quadratic quality functional. We examine the structure of the set of attainable functions and establish controllability of the problem on various sets of admissible controls.
Citation:
I. V. Astashova, A. V. Filinovskiy, “Controllability and exact controllability in a problem of heat transfer with convection and time distributed functional”, Tr. Semim. im. I. G. Petrovskogo, 32, 2019, 57–71; J. Math. Sci. (N. Y.), 244:2 (2020), 148–157
\Bibitem{AstFil19}
\by I.~V.~Astashova, A.~V.~Filinovskiy
\paper Controllability and exact controllability in a problem of heat transfer with convection and time distributed functional
\serial Tr. Semim. im. I.~G.~Petrovskogo
\yr 2019
\vol 32
\pages 57--71
\mathnet{http://mi.mathnet.ru/tsp101}
\elib{https://elibrary.ru/item.asp?id=43210226}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 244
\issue 2
\pages 148--157
\crossref{https://doi.org/10.1007/s10958-019-04610-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075911069}
Linking options:
https://www.mathnet.ru/eng/tsp101
https://www.mathnet.ru/eng/tsp/v32/p57
This publication is cited in the following 5 articles:
I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Extremum problems and control function estimates for a parabolic equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1, 40–50
I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Extremum problems and control function estimates for a parabolic equation”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 79:1 (2024), 44–54
Irina Astashova, Alexey Filinovskiy, Dmitriy Lashin, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021, 2849, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021, 2023, 120001
Irina Astashova, Alexey Filinovskiy, Dmitry Lashin, 2022 7th International Conference on Mathematics and Computers in Sciences and Industry (MCSI), 2022, 35
Irina Astashova, Alexey Filinovskiy, Dmitriy Lashin, “On the Estimates in Various Spaces to the Control Function of the Extremum Problem for Parabolic Equation”, WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS, 16 (2021), 187
Citation in format AMSBIB
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