Boundary value and extremum problems for generalized Oberbeck--Boussinesq model

R. V. Brizitskii ; Zh. Yu. Saritskaya ; R. R. Kravchuk

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1215-1232.

Résumé

Boundary value and extremum problems for a generalized Oberbeck–Boussinesq model are considered under the assumption that the reaction coefficient depends nonlinearly on the substance's concentration. In the case when reaction coefficient and cost functionals are Fréchet differentiable, an optimality system for the extremum problem is obtained. For the quadratic reaction coefficient a local uniqueness of the optimal solution is proved.

Détail

Keywords: nonlinear mass transfer model, generalized Oberbeck–Boussinesq model, extremum problem, control problem, optimality system, local uniqueness.

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