A new optimal transport distance on the space of finite Radon measures S Kondratyev, L Monsaingeon, D Vorotnikov | 167 | 2016 |
A JKO splitting scheme for Kantorovich--Fisher--Rao gradient flows TO Gallouët, L Monsaingeon SIAM Journal on Mathematical Analysis 49 (2), 1100-1130, 2017 | 59 | 2017 |
A Wasserstein gradient flow approach to Poisson− Nernst− Planck equations D Kinderlehrer, L Monsaingeon, X Xu ESAIM: Control, Optimisation and Calculus of Variations 23 (1), 137-164, 2017 | 39 | 2017 |
An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems T Gallouët, M Laborde, L Monsaingeon ESAIM: Control, Optimisation and Calculus of Variations 25, 8, 2019 | 26 | 2019 |
Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport A Baradat, L Monsaingeon Archive for Rational Mechanics and Analysis, 2019 | 25 | 2019 |
Incompressible immiscible multiphase flows in porous media: a variational approach C Cancès, TO Gallouët, L Monsaingeon Analysis & PDE 10 (8), 1845-1876, 2017 | 25 | 2017 |
A fitness-driven cross-diffusion system from population dynamics as a gradient flow S Kondratyev, L Monsaingeon, D Vorotnikov Journal of Differential Equations 261 (5), 2784-2808, 2016 | 22 | 2016 |
A KPP road–field system with spatially periodic exchange terms T Giletti, L Monsaingeon, M Zhou Nonlinear Analysis 128, 273-302, 2015 | 20 | 2015 |
An explicit finite-difference scheme for one-dimensional generalized porous medium equations: interface tracking and the hole filling problem L Monsaingeon ESAIM: Mathematical Modelling and Numerical Analysis 50 (4), 1011-1033, 2016 | 18 | 2016 |
The gradient flow structure for incompressible immiscible two-phase flows in porous media C Cancès, TO Gallouët, L Monsaingeon Comptes Rendus Mathematique 353 (11), 985-989, 2015 | 16 | 2015 |
The dynamical Schrödinger problem in abstract metric spaces L Monsaingeon, L Tamanini, D Vorotnikov Advances in Mathematics 426, 109100, 2023 | 14 | 2023 |
Simulation of multiphase porous media flows with minimising movement and finite volume schemes C Cancès, T Gallouët, M Laborde, L Monsaingeon European Journal of Applied Mathematics 30 (6), 1123-1152, 2019 | 11 | 2019 |
The Schrödinger problem on the non-commutative Fisher-Rao space L Monsaingeon, D Vorotnikov Calculus of Variations and Partial Differential Equations 60 (1), 14, 2021 | 10 | 2021 |
Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective FACC Chalub, L Monsaingeon, AM Ribeiro, MO Souza Acta Applicandae Mathematicae 171 (1), 24, 2021 | 10 | 2021 |
Computing discrete equivariant harmonic maps J Gaster, B Loustau, L Monsaingeon arXiv preprint arXiv:1810.11932, 2018 | 9 | 2018 |
Systems of partial differential equations in porous medium T Kuusi, L Monsaingeon, J Videman Nonlinear Analysis 133, 79-101, 2016 | 9 | 2016 |
A new transportation distance with bulk/interface interactions and flux penalization L Monsaingeon Calculus of Variations and Partial Differential Equations 60 (3), 101, 2021 | 7 | 2021 |
A new multicomponent Poincaré-Beckner inequality S Kondratyev, L Monsaingeon, D Vorotnikov Journal of Functional Analysis 272 (8), 3281--3310, 2017 | 7 | 2017 |
Traveling wave solutions of advection–diffusion equations with nonlinear diffusion L Monsaingeon, A Novikov, JM Roquejoffre Annales de l'IHP Analyse non linéaire 30 (4), 705-735, 2013 | 7 | 2013 |
Numerical investigation of the free boundary regularity for degenerate advection-diffusion problem L Monsaingeon Interfaces and Free Boundaries 19 (3), 371--391, 2017 | 5 | 2017 |