Analysis of properties of solutions to control problems for mass transfer equations with variable coefficients
Analysis of properties of solutions to control problems for mass transfer equations with variable coefficients
(Russian, English abstract)
Siberian Electronic Mathematical Reports, 22, 1, pp. 125-142 (2025)
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