On a one-dimensional steady-state hydrodynamic model for semiconductors

P. Degond; P. A. Markowich

doi:10.1016/0893-9659(90)90130-4

On a one-dimensional steady-state hydrodynamic model for semiconductors

P. Degond^*, P. A. Markowich

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

173 Scopus citations

Abstract

We present a hydrodynamic model for semiconductors, where the energy equation is replaced by a pressure-density relationship. We prove existence of smooth solutions and a uniqueness result in the subsonic case, which is characterized by a smallness assumption on the current flowing through the device.

Original language	English (US)
Pages (from-to)	25-29
Number of pages	5
Journal	Applied Mathematics Letters
Volume	3
Issue number	3
DOIs	https://doi.org/10.1016/0893-9659(90)90130-4
State	Published - 1990
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(90)90130-4

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title = "On a one-dimensional steady-state hydrodynamic model for semiconductors",

abstract = "We present a hydrodynamic model for semiconductors, where the energy equation is replaced by a pressure-density relationship. We prove existence of smooth solutions and a uniqueness result in the subsonic case, which is characterized by a smallness assumption on the current flowing through the device.",

author = "P. Degond and Markowich, {P. A.}",

year = "1990",

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AU - Degond, P.

AU - Markowich, P. A.

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AB - We present a hydrodynamic model for semiconductors, where the energy equation is replaced by a pressure-density relationship. We prove existence of smooth solutions and a uniqueness result in the subsonic case, which is characterized by a smallness assumption on the current flowing through the device.

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DO - 10.1016/0893-9659(90)90130-4

M3 - Article

AN - SCOPUS:0002209968

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JO - Applied Mathematics Letters

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IS - 3

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On a one-dimensional steady-state hydrodynamic model for semiconductors

Abstract

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