Optimal Multiphase Transportation with prescribed momentum
Laboratoire J.A Dieudonné, Parc Valrose, 06100 Nice,
2 Laboratoire d'Analyse Numérique, Université Paris 6, BC. 187, 75252 Paris Cedex 05, France.
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