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Corpus ID: 17373795

Sujet: Optimal transport, Euler equations,

@inproceedings{Figalli2009SujetOT,
title={Sujet: Optimal transport, Euler equations,},
author={Alessio Figalli and Yann Brenier and Albert Fathi and Ludovic Rifford and Tristan Rivi{\'e}re and Laure Saint-Raymond},
year={2009}
}

The irrigation problem is the problem of finding an efficient way to transport a mea- sure µ + onto a measure µ � . By efficient, we mean that a structure that achieves the transport (which,… Expand

Abstract We prove the existence of the global flow {Ut} generated by a vector field A from a Sobolev class W1, 1(μ) on a finite- or infinite-dimensional space X with a measure μ, provided μ is… Expand

The author studies the geometric properties of the group of volume-preserving diffeomorphisms of a region. This group is the configuration space of an ideal incompressible fluid, the trajectories of… Expand

SummaryWe obtain some new existence, uniqueness and stability results for ordinary differential equations with coefficients in Sobolev spaces. These results are deduced from corresponding results on… Expand

Abstract Sobolev spaces for Banach space valued Wiener functionals are constructed using the operator norm for the H -derivatives. The corresponding Sobolev norms are shown to be strictly weaker than… Expand