Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics (Q526043)

The paper presents system of equations for two liquids motivated by the problem of quasi-hydrodynamic description of electrons and holes in a semiconductor. For this reason, an additional term associated with the quantum effects (within Bohmian formalism) is added to each of basic partial stationary (by assumption of the thermal equilibriom) differential equations. Further, the system is treated purely mathematically, and an existence of limit functions, which are the weak solutions to the system considered, is proven.