On the bijectivity of controls pairs and pairs of heat and mass transfer local parameters in the hypersonic flow stagnation point

The hypersonic aircraft permeable surfaces (side surface of circular cylinder and spherical nozzle surface) effective heat protection mathematical modeling problems are considered. The possibility of unique controls restoration is established and proved (in the stagnation point). For one-dimensional case: the conditions of heat and mass transfer local parameters and boundary layer parameters monotonous dependence on controls are given. For two-dimensional case: the diffeomorphness conditions for controls pairs and pairs of heat and mass transfer local parameters are established. The computational experiments results are presented: the domains of allowed values “heat-friction” are obtained.