113 citations · 638 across the 37 of their papers we have counts for
3 papers · 1 filter
Generalized compressible flows and solutions of the H(div) geodesic problem
Thomas Gallouët, Andrea Natale, François-Xavier Vialard
We study the geodesic problem on the group of diffeomorphism of a domain MRd, equipped with the H(div) metric. The geodesic equations coincide with the Camassa-Holm equati…
Embedding Camassa-Holm equations in incompressible Euler
François-Xavier Vialard, Andrea Natale
In this article, we show how to embed the so-called CH2 equations into the geodesic flow of the Hdiv metric in 2D, which, itself, can be embedded in the incompressible Euler equati…
An Interpolating Distance between Optimal Transport and Fisher-Rao
Lenaic Chizat, Bernhard Schmitzer, Gabriel Peyré +1
This paper defines a new transport metric over the space of non-negative measures. This metric interpolates between the quadratic Wasserstein and the Fisher-Rao metrics and general…