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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 12, Pages 2042–2053
DOI: https://doi.org/10.7868/S0044466916120073 (Mi zvmmf10493) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition

R. V. Brizitskiiab, Zh. Yu. Saritskayab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Full-text PDF (209 kB) Citations (20)
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DOI: https://doi.org/10.7868/S0044466916120073
Abstract: The solvability of the boundary value and extremum problems for the convection-diffusion-reaction equation in which the reaction coefficient depends nonlinearly on the concentration of substances is proven. The role of the control in the extremum problem is played by the boundary function in the Dirichlet condition. For a particular reaction coefficient in the extremum problem, the optimality system and estimates of the local stability of its solution to small perturbations of the quality functional and one of specified functions is established.
Key words: nonlinear convection-diffusion-reaction equation, Dirichlet condition, control problem, local stability.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received: 14.12.2015
Revised: 04.04.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 12, Pages 2011–2022
DOI: https://doi.org/10.1134/S096554251612006X
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: R. V. Brizitskii, Zh. Yu. Saritskaya, “Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016), 2042–2053; Comput. Math. Math. Phys., 56:12 (2016), 2011–2022
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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