By B. Wanamaker, K. Massey
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Extra resources for Applied Pharmacology for Veterinary Technicians
52 (1999) pp. 411-452.  Brenier, Yann; Derivation of the Euler equations from a caricature of Coulomb interaction, Commun. Math. Physics, 212 (2000) pp. 93-104.  Brenier, Yann and Marjolaine Puel; Optimal multiphase transportation with prescribed momentum, ESAIM Control Optim. Calc. , 8 (2002) pp. 287-343.  Caffarelli, Luis; The regularity of mappings with a convex potential, J. Amer. Math. , 5 (1992) pp. 99-104.  Caffarelli, Luis; Boundary regularity of maps with convex potentials.
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Indeed Notice, at this point, that our model of springs with optimal assignment can be seen as a caricature of charged particles subject to Coulomb interactions. Finally, letting e go to zero, we find which is nothing but the Euler equations for an inviscid incompressible fluid with unit density. Comment The Euler equations can be related to the theory of optimal transportation in a different way through the concept of multiphase (or generalized) flow, as developed in [11, 12, 14]. 2 Vibrating strings and Born-lnfeld nonlinear electromagnetism Our goal is twofold1: 1.
Applied Pharmacology for Veterinary Technicians by B. Wanamaker, K. Massey