Optimal Multiphase Transportation with prescribed momentum

Free access article

Issue		ESAIM: COCV Volume 8, 2002 A tribute to JL Lions


Page(s)		287 - 343
DOI		10.1051/cocv:2002024

ESAIM: COCV, June 2002, Vol. 8, pp. 287-343
DOI: 10.1051/cocv:2002024

Optimal Multiphase Transportation with prescribed momentum

Yann Brenier¹ and Marjolaine Puel²

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 January 14, 2002)

Abstract
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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