Asymptotic profile in a one-dimensional steady-state nonisentropic hydrodynamic model for semiconductors
type: Item
instance of: scholarly article
title: Asymptotic profile in a one-dimensional steady-state nonisentropic hydrodynamic model for semiconductors
zbMATH Open document ID: 1123.34010
author: Yeping Li
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: The author studies the stationary flow for a one-dimensional nonisentropic hydrodynamic model in a bounded interval. This model consists of the continuous equations for the electron density, current density, and temperature, coupled with the Poisson equation of the electrostatic potential. There are investigated the cases of the zero-electron-mass limit, the zero-relaxation-time limit and the Debye-length (quasi-neutral) limit, respectively. Also, a continuous dependence of the solution with respect to the relaxation time (when this goes to \(0\)) is proved.
reviewed by: Adriana Buică
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 82D37
zbMATH DE Number: 5078868
zbMATH Keywords: hydrodynamic model
zbMATH Keywords: semiconductors
zbMATH Keywords: asymptotic profile
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.02.018
OpenAlex ID: W2010684909
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DOI: 10.1016/J.JMAA.2006.02.018
description: scientific article; zbMATH DE number 5078868