Optimal transportation of flows and Nonlinear Electromagnetism
ESAIM. Proceedings, Tome 22 (2008), pp. 15-20
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].
@article{EP_2008_22_a2,
author = {Yann Brenier},
title = {Optimal transportation of flows and {Nonlinear} {Electromagnetism}},
journal = {ESAIM. Proceedings},
pages = {15--20},
year = {2008},
volume = {22},
doi = {10.1051/proc:072202},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072202/}
}
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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