R. V. Brizitskii, Zh. Yu. Saritskaya, “Brizitskii, R.V., Saritskaia, Zh.Yu. Analysis of properties of solutions to control problems for mass transfer equations with variable coefficients”, Sib. Èlektron. Mat. Izv., 2025, Volume 22, Issue 1,Pages <nobr>125

Differentical equations, dynamical systems and optimal control

Brizitskii, R.V., Saritskaia, Zh.Yu. Analysis of properties of solutions to control problems for mass transfer equations with variable coefficients

R. V. Brizitskii^ab, Zh. Yu. Saritskaya^a

^a Institute of Applied Mathematics FEB RAS, str. Radio, 7, 690041, Vladivostok, Russia
^b Far Eastern Federal University

Abstract: Control problems for mass transfer equations with variable coefficients are studied. For specific coefficients of kinematic viscosity, diffusion and reaction, optimality systems are derived for strong solutions of the boundary value problem for extremum problems. Based on the analysis of these systems, the bang-bang principle for distributed control is established.

Keywords: generalized Boussinesq model, mass trabsfer equations, variable coefficients, control problem, extremum problem, optimality system, bang-bang principle.

UDC: 517.95

MSC: 35Q35

Received July 5, 2024, published March 19, 2025

DOI: 10.33048/semi.2025.22.010