output
20142022
most citedStochastic Optimization for Large-scale Optimal Transport

147 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing math.APShow all

6 papers · 1 filter

math.AP2022

From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows

Thomas Gallouët, Andrea Natale, Gabriele Todeschi

We introduce a time discretization for Wasserstein gradient flows based on the classical Backward Differentiation Formula of order two. The main building block of the scheme is the…

math.AP2022

Mass concentration in rescaled first order integral functionals

Antonin Monteil, Paul Pegon

We consider first order local minimization problems of the form under a mass constraint . We prove that the minimal…

math.AP2021

Convergence of a Lagrangian discretization for barotropic fluids and porous media flow

Thomas Gallouët, Quentin Merigot, Andrea Natale

When expressed in Lagrangian variables, the equations of motion for compressible (barotropic) fluids have the structure of a classical Hamiltonian system in which the potential ene…

math.AP2020★ 10 cited

Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method

Matteo Bonforte, Jean Dolbeault, Bruno Nazaret +1

The purpose of this work is to establish a quantitative and constructive stability result for a class of subcritical Gagliardo-Nirenberg-Sobolev inequalities which interpolates bet…

math.AP2018★ 6 cited

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…

math.AP2018

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…