| Issue |
ESAIM: COCV
Volume 8, 2002
A tribute to JL Lions
|
|
|---|---|---|
| Page(s) | 287 - 343 | |
| DOI | https://doi.org/10.1051/cocv:2002024 | |
| Published online | 15 August 2002 | |
Optimal Multiphase Transportation with prescribed momentum
1
Laboratoire J.A Dieudonné, Parc Valrose, 06100 Nice,
France; brenier@math.unice.fr.
2
Laboratoire d'Analyse Numérique, Université Paris 6,
BC. 187, 75252 Paris Cedex 05, France.
Received:
14
January
2002
A multiphase generalization of the Monge–Kantorovich optimal transportation problem is addressed. Existence of optimal solutions is established. The optimality equations are related to classical Electrodynamics.
Mathematics Subject Classification: 65K10 / 35Q
Key words: Optimal transportation / multiphase flow / electrodynamics.
© EDP Sciences, SMAI, 2002
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