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Optimal transportation of particles, fluids and currents

Optimal transportation of particles, fluids and currents

<!-- *** Custom HTML *** --> 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 …