AN EXISTENCE AND UNIQUENESS RESULT FOR THE STATIONARY ENERGY-TRANSPORT MODEL IN SEMICONDUCTOR THEORY

Authors
DEGOND P GENIEYS S JUNGEL A
Citation
P. Degond et al., AN EXISTENCE AND UNIQUENESS RESULT FOR THE STATIONARY ENERGY-TRANSPORT MODEL IN SEMICONDUCTOR THEORY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(8), 1997, pp. 867-872
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
324
Issue
8
Year of publication
1997
Pages
867 - 872
Database
ISI
SICI code
0764-4442(1997)324:8<867:AEAURF>2.0.ZU;2-L
Abstract
The steady-state energy-transport model for semiconductors consists of two strongly coupled nonlinear elliptic equations for the chemical po tential and the temperature of the electrons. The equations are couple d selfconsistently to the Poisson equation for the electric potential. The existence and uniqueness of solutions is shown. The key of the pr oof is a transformation of the problem by means of the entropic variab les, which symmetrizes the system.