Abstract and Applied Analysis
Volume 2012 (2012), Article ID 212786, 7 pages
http://dx.doi.org/10.1155/2012/212786
Research Article

Regularizing Model for the 2D MHD Equations with Zero Viscosity

Ensil Kang1 and Jihoon Lee2

1Department of Mathematics, Chosun University, Gwangju 501-759, Republic of Korea
2Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

Received 1 March 2012; Accepted 9 April 2012

Academic Editor: Narcisa C. Apreutesei

Copyright © 2012 Ensil Kang and Jihoon Lee. 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

We consider the regularity of two dimensional incompressible magneto-hydrodynamics equations with zero viscosity. We provide an approximating system to the equations and prove global-in-time existence of classical solution to this approximating system. By using approximating system, a priori estimates for the equations can be justified.