Optimal multiphase transportation with prescribed momentum
ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 287-343.

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.

DOI : 10.1051/cocv:2002024
Classification : 65K10, 35Q
Mots clés : optimal transportation, multiphase flow, electrodynamics 
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     title = {Optimal multiphase transportation with prescribed momentum},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {287--343},
     publisher = {EDP-Sciences},
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     year = {2002},
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     mrnumber = {1932954},
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     url = {http://archive.numdam.org/articles/10.1051/cocv:2002024/}
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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. http://archive.numdam.org/articles/10.1051/cocv:2002024/

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