ESAIM: Proceedings (ESAIM: PROC)

Free access article

ESAIM: Proc., 2008, Vol. 22, pp. 15-20
DOI: 10.1051/proc:072202

Optimal transportation of flows and Nonlinear Electromagnetism

Yann Brenier

FR2800 W. Doeblin, Mathématiques, Parc Valrose, 06108 Nice Cedex 02

(February 2007 / Published online: 1 February 2008)

Abstract

The concept of optimal transportation of densities has become very popular in the 10 last years with numerous applications in very different fields of pure and applied mathematics. (See [14] for a recent review.) In this contribution, we discuss a generalization of this concept for flows (and not only densities) and its connection with the nonlinear Electromagnetism of Born and Infeld [4].