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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 352–360
DOI: https://doi.org/10.17377/semi.2016.13.030 (Mi semr679) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Differentical equations, dynamical systems and optimal control

Multiplicative control problems for nonlinear convection–diffusion–reaction equation

R. V. Brizitskiiab, Zh. Yu. Saritskayaa, A. I. Byrganova

a Far Eastern Federal University, st. Sukhanova, 8, 690950, Vladivostok, Russia
b Insitute of Applied Mathematics FEB RAS, st. Radio, 7, 690041, Vladivostok, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.030
Abstract: Control problem for convection-diffusion-reaction equation, in which reaction coefficient depends nonlinearly on substance's concentration, is considered. Velocity vector, multiplicatively entered into the considered equation, is chosen as a control function. Extremum problem's solvability for reaction coefficient of common type is proved. Optimality system for quadratic reaction coefficient is obtained and on its basis local uniqueness of control problem's solutions for particular cost functionals is proved.
Keywords: convection-diffusion-reaction equation, multiplicative control problems, optimality system, local uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00365_à
Ministry of Education and Science of the Russian Federation 14.Y26.31.0003
This work was supported by the Russian Foundation for Basic Research (project no. 16-01-00365) and Ministry of Educationl and Science of the Russian Federation (contract no. 14.Y26.31.0003).
Received December 27, 2015, published May 12, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A05
Language: English
Citation: R. V. Brizitskii, Zh. Yu. Saritskaya, A. I. Byrganov, “Multiplicative control problems for nonlinear convection–diffusion–reaction equation”, Sib. Èlektron. Mat. Izv., 13 (2016), 352–360
Citation in format AMSBIB
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\by R.~V.~Brizitskii, Zh.~Yu.~Saritskaya, A.~I.~Byrganov
\paper Multiplicative control problems for nonlinear convection–diffusion–reaction equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 352--360
\mathnet{http://mi.mathnet.ru/semr679}
\crossref{https://doi.org/10.17377/semi.2016.13.030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100030}
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