Quasi-neutral limit of the Euler-Poisson and Euler-Monge-Ampère systems

Details Quasi-neutral limit of the Euler-Poisson and Euler-Monge-Ampère systems Quasi-neutral limit of the Euler-Poisson and Euler-Monge-Ampère systems

2005-04-07

arxiv.org/abs/math/0504134v1

Mathematics

Analysis of PDEs

Scientific paper

This paper studies the pressureless Euler-Poisson system and its fully non-linear counterpart, the Euler-Monge-Amp\`ere system, where the fully non-linear Monge-Amp\`ere 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.

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