Abstract
In this paper, we consider the motion of electrons in a constant electric field in a certain temperature range, when the motion can be described by an equation of the Darcy–Brinkman type. We studied the on-set of the stationary current flow in a conductor with and without taking into account the viscosity of elec-trons after switching on a longitudinal electric field. Solutions with an alternating electric field and a solu-tion in the form of a traveling wave are also considered. In addition, we analyzed small perturbations of the stationary flow by the Galerkin method, which confirmed that the flow is stable at parameters corre-sponding to the flow of current through the conductor.
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