The kinetics of carbon dioxide absorption from flue gases were studied. A mathematical modelwas developed to control the temperature of unsteady turbulent flows and the absorption with homogeneous combustion. The influence of various hydrodynamic and physiochemical factors on carbon dioxide absorption from flue gases using DEA as the absorbent was also determined. The developed mathematical model was used to optimize carbon dioxide absorption from flue gases. As a result, the optimal technological regime of the process was found. The mathematical model enabled the absorption to be optimized and decreased the carbon dioxide concentration in flue gases from 1.2-2.6 to 0.011-0.014%.