Citation
A. Jungel et Yj. Peng, A model hierarchy for semiconductors and plasmas, NONLIN ANAL, 47(3), 2001, pp. 1821-1832
Citations number
24
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X
→ ACNP
Volume
47
Issue
3
Year of publication
2001
Pages
1821 - 1832
Database
ISI
SICI code
0362-546X(200108)47:3<1821:AMHFSA>2.0.ZU;2-P
Abstract
A hierarchy of hydrodynamic and quasi-hydrodynamic models for semiconductor
s and plasmas is introduced. The various model equations are obtained from
the transient Euler-Poisson system in the zero-electron-mass limit, the zer
o-relaxation-time limit and the zero-Debye-length limit. Some results of th
e rigorous justification of these limits are presented.