Quasineutral limit of an Euler-Poisson system arising from plasma physics

Citation
S. Cordier et E. Grenier, Quasineutral limit of an Euler-Poisson system arising from plasma physics, COMM PART D, 25(5-6), 2000, pp. 1099-1113
Citations number
13
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302 → ACNP
Volume
25
Issue
5-6
Year of publication
2000
Pages
1099 - 1113
Database
ISI
SICI code
0360-5302(2000)25:5-6<1099:QLOAES>2.0.ZU;2-K
Abstract
In this paper, we study the quasineutral limit of an Euler-Poisson system a rising from plasma physics i.e. the limit when the Debye length tends to 0 of a non linear hyperbolic system coupled with a non linear elliptic equati on. The proof uses pseudodifferential energy estimates techniques, in order to justify classical limits in small time, for strong solutions.