On stability of solutions of extremum problems for stationary equations of mass transfer

Inverse extremum problems for stationary equations of mass transfer are considered. Heat flux through the part of the boundary and the volume impurity source density play the role of controls. The mean quadratic integral deviation of the velocity or vorticity field from the given field in a part of the domain is chosen as the cost functional. Sufficient conditions to input data are established, which provide the uniqueness and stability of solutions.