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.
Classification : 65K10, 35Q
Mots clés : optimal transportation, multiphase flow, 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}, zbl = {1091.49034}, mrnumber = {1932954}, language = {en}, url = {www.numdam.org/item/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. http://www.numdam.org/item/COCV_2002__8__287_0/
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