STUDY OF AN APPROXIMATION MODEL ISSUED FROM PLASMA PHYSICS AND QUASI-NEUTRALITY

Authors
FABRE S
Citation
S. Fabre, STUDY OF AN APPROXIMATION MODEL ISSUED FROM PLASMA PHYSICS AND QUASI-NEUTRALITY, Mathematical models and methods in applied sciences, 6(7), 1996, pp. 887-900
Citations number
6
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
6
Issue
7
Year of publication
1996
Pages
887 - 900
Database
ISI
SICI code
0218-2025(1996)6:7<887:SOAAMI>2.0.ZU;2-I
Abstract
In this paper, we study the existence and uniqueness in R(N) of Poisso n's equation coupled with Boltzmann's relation which gives a particula r expression of the electron's density. We also consider the case wher e the ionic density vanishes. At last, an asymptotic analysis yields a proof of the quasineutrality hypothesis of this model where the Debye length can be neglected in comparison with the size of the system.