Title
From two-fluid Euler-Poisson equations to one-fluid Euler equations.
Abstract
We consider quasi-neutral limits in two-fluid isentropic Euler-Poisson equations arising in the modeling of unmagnetized plasmas and semiconductors. For periodic smooth solutions, we justify an asymptotic expansion in a time interval independent of the Debye length. This implies the convergence of the equations to compressible Euler equations. The proof is based on energy estimates for symmetrizable hyperbolic equations and on the exploration of the coupling between the Euler equations and the Poisson equation.
Year
DOI
Venue
2013
10.3233/ASY-131177
ASYMPTOTIC ANALYSIS
Keywords
Field
DocType
two-fluid Euler-Poisson system,the quasi-neutral limit,compressible Euler equations,local smooth solutions
Euler method,Mathematical analysis,Euler's formula,Poisson distribution,Semi-implicit Euler method,Euler equations,Backward Euler method,Mathematics
Journal
Volume
Issue
ISSN
85
3-4
0921-7134
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Yachun Li100.34
Yue-Jun Peng2103.14
Yaguang Wang3296.70