The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
type: Item
instance of: scholarly article
title: The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
zbMATH Open document ID: 0889.35109
author: Roberto Natalini
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-06-25T00:00:00Z
review text: The author establishes the existence of weak entropy solutions for a bipolar hydrodynamic model for semiconductors, with uniform \(L^\infty\) and \(L^2\) bounds with respect to the relaxation time. It is proved that these solutions are the limits of a numerical approximation based on a modified version of the fractional step Lax-Friedrichs scheme.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A35
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65N99
zbMATH DE Number: 902500
zbMATH Keywords: drift-diffusion equations
zbMATH Keywords: bipolar hydrodynamic model for semiconductors
zbMATH Keywords: fractional step Lax-Friedrichs scheme
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0081
OpenAlex ID: W2081712379
Wikidata QID: Q57777092
DOI: 10.1006/JMAA.1996.0081
description: scientific article; zbMATH DE number 902500