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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 12, Pages 2139–2152
DOI: https://doi.org/10.31857/S004446690003558-4 (Mi zvmmf10810) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Boundary control problem for a nonlinear convection-diffusion-reaction equation

R. V. Brizitskiiab, Zh. Yu. Saritskayab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Citations (14)
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DOI: https://doi.org/10.31857/S004446690003558-4
Abstract: The solvability of boundary-value and extremum problems for a nonlinear convection-diffusion-reaction equation with mixed boundary conditions is proved in the case where the coefficient in the boundary condition is a fairly arbitrary function of the solution to the boundary value problem. For the mass transfer coefficient equal to the modulus of the substance concentration, local stability estimates of the solution to the extremum problem with respect to relatively small perturbations in the cost functional and the given functions of the boundary value problem are obtained.
Key words: nonlinear convection-diffusion-reaction equation, boundary control problem, optimality system, stability esimates.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0263-2018-0001
18-5-064
Russian Foundation for Basic Research 16-01-00365_а
Received: 17.01.2018
Revised: 01.04.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 12, Pages 2053–2063
DOI: https://doi.org/10.1134/S0965542518120060
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: R. V. Brizitskii, Zh. Yu. Saritskaya, “Boundary control problem for a nonlinear convection-diffusion-reaction equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2139–2152; Comput. Math. Math. Phys., 58:12 (2018), 2053–2063
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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