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

✍ Scribed by P. Degond; P.A. Markowich

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
285 KB
Volume
3
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Steady-State Solutions of a One-Dimensio
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✍ Weifu Fang; Kazufumi Ito πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 543 KB

Steady-state BV solutions to a one-dimensional hydrodynamic model for semiconductors are shown to exist as limits of viscous solutions as the viscosity vanishes. 1997 Academic Press ## 1. Introduction Recently the hydrodynamic model for semiconductors has received increasing attention. The model

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The one-dimensional stationary full hydrodynamic model for semiconductor devices with non-isentropic pressure is studied. This model consists of the equations for the electron density, electron temperature, and electric field in a bounded domain supplemented with boundary conditions. The existence o