Using Fourier transform infrared (FTIR) spectroscopy analyses, we have studied the oxidation processes of methane or carbon monoxide in air-CH 4 or air-CO flows interacting with polycrystalline catalytic oxides, as a function of temperature (T) and time (t). The gas flows crossed through La 2 O 3 , Lu 2 O 3 , CeO 2 , or Bi 2 O 3 porous walls with constant composition and rate. The oxidation capacities of materials were determined from the intensities I(t, T) of CO 2 vibrational bands resulting from the total oxidation of CH 4 or CO into CO 2 . To interpret the time-dependent variations of these intensities, we have applied a model derived from Johnson-Mehl-Avrami approaches. This simple approach delivers pertinent parameters describing time-dependent oxidation rates.