1. Boundary Layer Problem and Quasineutral Limit of Compressible Euler-Poisson System
- Author
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Chundi Liu and Shu Wang
- Subjects
Physics ,Applied Mathematics ,010102 general mathematics ,Mathematical analysis ,Boundary (topology) ,General Medicine ,Space (mathematics) ,01 natural sciences ,Domain (mathematical analysis) ,010101 applied mathematics ,symbols.namesake ,Boundary layer ,Singularity ,Physics::Plasma Physics ,Physics::Space Physics ,Euler's formula ,symbols ,Limit (mathematics) ,0101 mathematics ,Asymptotic expansion ,Analysis - Abstract
We study the boundary layer problem and the quasineutral limit of the compressible Euler-Poisson system arising from plasma physics in a domain with boundary. The quasineutral regime is the incompressible Euler equations. Compared to the quasineutral limit of compressible Euler-Poisson equations in whole space or periodic domain, the key difficulty here is to deal with the singularity caused by the boundary layer. The proof of the result is based on a λ-weighted energy method and the matched asymptotic expansion method.
- Published
- 2017
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