Abstract
This paper studies the pressureless Euler-Poisson system and its fully nonlinear counterpart, the Euler-Monge-Ampère system, where the fully nonlinear Monge-Ampère equation substitutes for the linear Poisson equation. While the first is a model of plasma physics, the second is derived as a geometric approximation to the Euler incompressible equations. Using energy estimates, convergence of both systems to the Euler incompressible equations is proved.
Original language | English |
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Pages (from-to) | 1141-1167 |
Number of pages | 27 |
Journal | Communications in Partial Differential Equations |
Volume | 30 |
Issue number | 7-9 |
DOIs | |
Publication status | Published - 2005 |
Externally published | Yes |
Keywords
- Incompressible Euler equations
- Optimal transportation
- Quasineutral limit