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A steady state potential flow model for semiconductors
Authors:Pierre Degond  Peter A Markowich
Institution:(1) Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France;(2) Fachbereich Mathematik, TU-Berlin, D-1000 Berlin 12, FRG
Abstract:Summary We present a three-dimensional steady state irrotational flow model for semiconductors which is based on the hydrodynamic equations. We prove existence and local uniqueness of smooth solutions under a smallness assumptions on the data. This assumption implies subsonic flow of electrons in the semiconductors device.
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