KdV limit of the Euler-Poisson system
Analysis of PDEs
2014-01-15 v2
Abstract
Consider the scaling in the Euler-Poisson system for ion-acoustic waves \eqref{equ1}. We establish that as , the solutions to such Euler-Poisson system converge globally in time to the solutions of the Korteweg-de Vries equation.
Cite
@article{arxiv.1202.1830,
title = {KdV limit of the Euler-Poisson system},
author = {Yan Guo and Xueke Pu},
journal= {arXiv preprint arXiv:1202.1830},
year = {2014}
}
Comments
35 pages, Several typos are replaced