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VOL. 67 | 2015 Optimal transportation of particles, fluids and currents
Yann Brenier

Editor(s) Luigi Ambrosio, Yoshikazu Giga, Piotr Rybka, Yoshihiro Tonegawa

Abstract

In these lectures, we review a series of optimal transport (OT) problems of growing complexity. Surprisingly enough, in this seemingly narrow framework, we will encounter nonlinear PDEs of very different type, such as the Monge–Ampère équation, the Euler equations of incompressible fluids, the hydrostatic Boussinesq equations in convection theory, the Born–Infeld equation of electromagnetism, showing the hidden richness of the concept of optimal transportion

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 06701459
MathSciNet: MR3587447

Digital Object Identifier: 10.2969/aspm/06710059

Subjects:
Primary: 35Q
Secondary: 49, 76

Rights: Copyright © 2015 Mathematical Society of Japan

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