Geodesic
Optimal transportation of flows and Nonlinear Electromagnetism
Yann Brenier1
1FR2800 W. Doeblin, Mathématiques, Parc Valrose, 06108 Nice Cedex 02
ESAIM. Proceedings, Tome 22 (2008), pp. 15-20

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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].

DOI : 10.1051/proc:072202

Yann Brenier  1

1 FR2800 W. Doeblin, Mathématiques, Parc Valrose, 06108 Nice Cedex 02 
Yann Brenier. Optimal transportation of flows and Nonlinear Electromagnetism. ESAIM. Proceedings, Tome 22 (2008), pp. 15-20. doi: 10.1051/proc:072202
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