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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.
@article{COCV_2002__8__287_0,
author = {Brenier, Yann and Puel, Marjolaine},
title = {Optimal multiphase transportation with prescribed momentum},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {287--343},
publisher = {EDP-Sciences},
volume = {8},
year = {2002},
doi = {10.1051/cocv:2002024},
mrnumber = {1932954},
zbl = {1091.49034},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002024/}
}
TY - JOUR AU - Brenier, Yann AU - Puel, Marjolaine TI - Optimal multiphase transportation with prescribed momentum JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2002 SP - 287 EP - 343 VL - 8 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002024/ DO - 10.1051/cocv:2002024 LA - en ID - COCV_2002__8__287_0 ER -
%0 Journal Article %A Brenier, Yann %A Puel, Marjolaine %T Optimal multiphase transportation with prescribed momentum %J ESAIM: Control, Optimisation and Calculus of Variations %D 2002 %P 287-343 %V 8 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002024/ %R 10.1051/cocv:2002024 %G en %F COCV_2002__8__287_0
Brenier, Yann; Puel, Marjolaine. Optimal multiphase transportation with prescribed momentum. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 287-343. doi: 10.1051/cocv:2002024
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