Geodesic
Multiplicative control problems for nonlinear convection–diffusion–reaction equation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 352-360

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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: multiplicative control problems, optimality system, local uniqueness.
Mots-clés : convection-diffusion-reaction equation 
@article{SEMR_2016_13_a72,
     author = {R. V. Brizitskii and Zh. Yu. Saritskaya and A. I. Byrganov},
     title = {Multiplicative control problems for nonlinear convection{\textendash}diffusion{\textendash}reaction equation},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {352--360},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a72/}
}
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R. V. Brizitskii; Zh. Yu. Saritskaya; A. I. Byrganov. Multiplicative control problems for nonlinear convection–diffusion–reaction equation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 352-360. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a72/