Resumen
This paper presents new transport equations to describe the kinetics of coupled electron-phonon systems in semiconductors. The model is based on a semicontinuous version of the Bloch--Boltzmann--Peierls equations for electrons interacting with acoustic and optical phonons. Major aspects of the resulting kinetic equations, such as conservation laws and stability, are investigated. Numerical results of the model applied to a system of phonons and photo-excited electrons in gallium arsenide (GaAs) are compared with data obtained by an ensemble Monte Carlo technique.