44 citations · 135 across the 29 of their papers we have counts for
4 papers · 2 filters
A new optimal transport distance on the space of finite Radon measures
Stanislav Kondratyev, Léonard Monsaingeon, Dmitry Vorotnikov
We introduce a new optimal transport distance between nonnegative finite Radon measures with possibly different masses. The construction is based on non-conservative continuity equ…
A KPP road-field system with spatially periodic exchange terms
Thomas Giletti, Léonard Monsaingeon, Maolin Zhou
We take interest in a reaction-diffusion system which has been recently proposed [11] as a model for the effect of a road on propagation phenomena arising in epidemiology and ecolo…
The gradient flow structure for incompressible immiscible two-phase flows in porous media
Clément Cancès, Thomas O. Gallouët, Léonard Monsaingeon
We show that the widely used model governing the motion of two incompressible immiscible fluids in a possibly heterogeneous porous medium has a formal gradient flow structure. More…
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations
David Kinderlehrer, Léonard Monsaingeon, Xiang Xu
The Poisson-Nernst-Planck system of equations used to model ionic transport is interpreted as a gradient flow for the Wasserstein distance and a free energy in the space of probabi…