21 citations · 47 across the 8 of their papers we have counts for
4 papers · 1 filter
The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view
Thomas Gallouët, François-Xavier Vialard
The group of diffeomorphisms of a compact manifold endowed with the L^2 metric acting on the space of probability densities gives a unifying framework for the incompressible Euler…
Incompressible immiscible multiphase flows in porous media: a variational approach
Clément Cancès, Thomas Gallouët, Leonard Monsaingeon
We describe the competitive motion of (N + 1) incompressible immiscible phases within a porous medium as the gradient flow of a singular energy in the space of non-negative measure…
A Lagrangian scheme for the incompressible Euler equation using optimal transport
Thomas Gallouët, Quentin Mérigot
We approximate the regular solutions of the incompressible Euler equation by the solution of ODEs on finite-dimensional spaces. Our approach combines Arnold's interpretation of the…
A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows
Thomas Gallouët, Léonard Monsaingeon
In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined…