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Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries
- Source :
- Indiana University Mathematics Journal, Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2013, 62 (2), pp.359-402, Indiana University Mathematics Journal, 2013, 62 (2), pp.359-402
- Publication Year :
- 2013
- Publisher :
- HAL CCSD, 2013.
-
Abstract
- We study the quasineutral limit of the isothermal Euler-Poisson system describing a plasma made of ions and massless electrons. The analysis is achieved in a domain of $\R^3$ and thus extends former results by Cordier and Grenier [Comm. Partial Differential Equations, 25 (2000), pp.~1099--1113], who dealt with the same problem in a one-dimensional domain without boundary.<br />Comment: 32 pages
- Subjects :
- General Mathematics
Boundary (topology)
Electron
boundary layers
01 natural sciences
linearized modulated energy
Domain (mathematical analysis)
symbols.namesake
Mathematics - Analysis of PDEs
quasineutral limit
[ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP]
Physics::Plasma Physics
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Limit (mathematics)
0101 mathematics
Mathematics
Partial differential equation
010102 general mathematics
Mathematical analysis
Isothermal Euler-Poisson system
Plasma
010101 applied mathematics
Massless particle
Euler's formula
symbols
76N15, 76N25, 35Q35
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- ISSN :
- 00222518
- Database :
- OpenAIRE
- Journal :
- Indiana University Mathematics Journal, Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2013, 62 (2), pp.359-402, Indiana University Mathematics Journal, 2013, 62 (2), pp.359-402
- Accession number :
- edsair.doi.dedup.....30f2ece79dba4756ee905e49d0858be9