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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Degond, P., Markowich, P.A. A steady state potential flow model for semiconductors. Annali di Matematica pura ed applicata 165, 87–98 (1993). https://doi.org/10.1007/BF01765842
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DOI: https://doi.org/10.1007/BF01765842