Journal of Applied Mathematics
Volume 2011 (2011), Article ID 942024, 13 pages
http://dx.doi.org/10.1155/2011/942024
Research Article

Convergence of a Singular Euler-Maxwell Approximation of the Incompressible Euler Equations

Jianwei Yang and Hongli Wang

College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

Received 15 June 2011; Accepted 27 October 2011

Academic Editor: Vu Phat

Copyright © 2011 Jianwei Yang and Hongli Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper studies the Euler-Maxwell system which is a model of a collisionless plasma. By energy estimation and the curl-div decomposition of the gradient, we rigorously justify a singular approximation of the incompressible Euler equations via a quasi-neutral regime.