ON MODEL SYSTEMS of PARABOLIC and ELLIPTIC NONLINEAR EQUATIONS of the THEORY of CRYSTALLINE SEMICONDUCTORS

The report will consider various systems of equations that arise when considering drift, diffusion and thermal processes in crystalline semiconductors in the quasi-stationary approximation of Maxwell's equations within the framework of the electron-hole formalism. First, we will successively consider three components of our model: field (Maxwell's equations), hydrodynamics of electrons and holes, thermal part. As a result, we obtain three groups of equations, which together form systems of equations.