Navier-Stokes equations: Classical and generalized models

seminar: Variational models for incompressible Euler equations and optimal transportation

speaker: Luigi Ambrosio (Scuola Normale Superiore)

abstract: I will describe a recent joint work with A. Figalli, dealing with the Brenier-Shnirelman relaxation of the Arnold distance in the space of measure-preserving maps. We describe necessary and sufficient optimality conditions for this problem that involve the pressure field, and links with the theory of optimal mass transportation.

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