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Optimal Multiphase Transportationwith prescribed momentum

Published online by Cambridge University Press:  15 August 2002

Yann Brenier  and
Marjolaine Puel
Yann Brenier
Affiliation:
Laboratoire J.A Dieudonné, Parc Valrose, 06100 Nice, France; brenier@math.unice.fr.
Marjolaine Puel
Affiliation:
Laboratoire d'Analyse Numérique, Université Paris 6, BC. 187, 75252 Paris Cedex 05, France.
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Abstract

A multiphase generalization of the Monge–Kantorovich optimaltransportation problem is addressed. Existence of optimal solutions is established.The optimality equations are related to classical Electrodynamics.

Keywords

Optimal transportationmultiphase flowelectrodynamics.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 287 - 343
Copyright
© EDP Sciences, SMAI, 2002

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