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Dal'nevostochnyi Matematicheskii Zhurnal, 2023, Volume 23, Number 1, Pages 106–111
DOI: https://doi.org/10.47910/FEMJ202309 (Mi dvmg510) 		 
Boundary control problems for nonlinear reaction-diffusion-convection model

Zh. Yu. Saritskaya, R. V. Brizitskii

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202309
Abstract: The solvability of the boundary control problem for a nonlinear model of mass transfer is proven in the case, when the reaction coefficient depends nonlinearly on concentration of substance and depends on spatial variables. The role of the control is played by the concentration value specified on the entire boundary of the domain.
Key words: Nonlinear Mass-Transfer Model, Generalized Boussinesq Model, Reaction Coefficient, Boundary Control Problem.
Funding agency Grant number
Russian Science Foundation 22-21-00271
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-946
This work was supported by the Russian Science Foundation (Project No. 22-21-00271) and by the Ministry of Science and Higher Education of Russian Federation (Project No. 075-02-2023-946).
Received: 15.06.2022
Document Type: Article
UDC: 517.95
MSC: Primary 35A07; Secondary 35G30, 35R30
Language: English
Citation: Zh. Yu. Saritskaya, R. V. Brizitskii, “Boundary control problems for nonlinear reaction-diffusion-convection model”, Dal'nevost. Mat. Zh., 23:1 (2023), 106–111
Citation in format AMSBIB
\Bibitem{SarBri23}
\by Zh.~Yu.~Saritskaya, R.~V.~Brizitskii
\paper Boundary control problems for nonlinear reaction-diffusion-convection model
\jour Dal'nevost. Mat. Zh.
\yr 2023
\vol 23
\issue 1
\pages 106--111
\mathnet{http://mi.mathnet.ru/dvmg510}
\crossref{https://doi.org/10.47910/FEMJ202309}
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