Rigorous derivation of the compressible magnetohydrodynamic equations from the electromagnetic fluid system

and

Published 11 May 2012 • 2012 IOP Publishing Ltd & London Mathematical Society
, , Citation Song Jiang and Fucai Li 2012 Nonlinearity 25 1735 DOI 10.1088/0951-7715/25/6/1735

Download Article PDF

Article metrics

294 Total downloads

Share this article

Author affiliations

1 Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, People's Republic of China

2 Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China

3 Author to whom any correspondence should be addressed.

Dates

  1. Received 10 June 2011
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/25/6/1735

Abstract

The compressible magnetohydrodynamic equations can be derived from the equations describing electromagnetic dynamics as the dielectric constant tends to zero. Under the assumption that the initial data are well prepared, we justify this singular limit rigorously for smooth solutions to the electromagnetic fluid system in three dimensions by employing an elaborate nonlinear energy method.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by L Ryzhik

10.1088/0951-7715/25/6/1735