English

On a differential inclusion related to the Born-Infeld equations

Analysis of PDEs 2013-08-13 v2

Abstract

We study a partial differential relation that arises in the context of the Born-Infeld equations (an extension of the Maxwell's equations) by using Gromov's method of convex integration in the setting of divergence free fields.

Keywords

Cite

@article{arxiv.1201.4244,
  title  = {On a differential inclusion related to the Born-Infeld equations},
  author = {Stefan Müller and Mariapia Palombaro},
  journal= {arXiv preprint arXiv:1201.4244},
  year   = {2013}
}