ADJOINT EQUATIONS IN CONTROL PROBLEMS OF NON-CONSERVATIVE ADMIXTURE CONCENTRATION
His paper considers the problem of optimal control of water pollution sources in the water courses. We give statement of the optimal control problems and algorithms based on the use of adjoint equations for their numerical solution. Two problems are considered: the regulation of constant in time pointwise sources of conservative impurities, and also control of pollutant discharges for case system of non-conservative substances. The advantage of the first linear mathematical model is a reasonable computational complexity, almost without restrictions on the complexity of the description of the fluid dynamics and transport of pollutants. For the second non-linear problem, an iterative solution algorithm based on the gradient projection method based on the quasi-linear system of reaction-convection-diffusion equation is given