A boundary value problem for a kinetic model describing electron flow in asemiconductor

Authors
Drago, CR Majorana, A
Citation
Cr. Drago et A. Majorana, A boundary value problem for a kinetic model describing electron flow in asemiconductor, MATH METH A, 23(8), 2000, pp. 735-750
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
23
Issue
8
Year of publication
2000
Pages
735 - 750
Database
ISI
SICI code
0170-4214(20000525)23:8<735:ABVPFA>2.0.ZU;2-R
Abstract
A kinetic model describing the evolution of an electron gas in a semiconduc tor device is analysed. It arises from the Boltzmann equation by using a sp herical harmonic expansion, and it involves difference-partial differential equations. A boundary value problem is proposed and an existence and uniqu eness theorem is proved for the stationary one-dimensional case. A simple a symptotic model is derived and for this a maximum principle is shown. Copyr ight (C) 2000 John Whey & Sons, Ltd.