Thomas Gallouët

Publications

Pré-publication, Document de travail (2)

Semi-discrete convex order and Laguerre tessellation fitting David P. Bourne,Thomas O. Gallouët,Quentin Merigot,Andrea Natale 2025 Pré-publication, Document de travail hal-05008630v1
Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem Thomas Gallouët,Guillaume Mijoule,Yvik Swan 2018 Pré-publication, Document de travail hal-01785397v1

Article dans une revue (18)

Metric extrapolation in the Wasserstein space Thomas O. Gallouët,Andrea Natale,Gabriele Todeschi Calculus of Variations and Partial Differential Equations, 2025, 64 (147), ⟨10.1007/s00526-025-02996-6⟩ Article dans une revue hal-04647125v3
Regularity theory and geometry of unbalanced optimal transport Thomas Gallouët,Roberta Ghezzi,François-Xavier Vialard Journal of Functional Analysis, 2025, 289 (7), pp.111042. ⟨10.1016/j.jfa.2025.111042⟩ Article dans une revue hal-03498098v3
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows Thomas Gallouët,Andrea Natale,Gabriele Todeschi Mathematics of Computation, 2024, 93, pp.2769-2810. ⟨10.1090/mcom/3951⟩ Article dans une revue hal-03790981v3
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow Thomas Gallouët,Quentin Merigot,Andrea Natale SIAM Journal on Mathematical Analysis, 2022, 54 (3), ⟨10.1137/21M1422756⟩ Article dans une revue hal-03234144v2
A variational finite volume scheme for Wasserstein gradient flows Clément Cancès,Thomas Gallouët,Gabriele Todeschi Numerische Mathematik, 2020, 146 (3), pp 437 - 480. ⟨10.1007/s00211-020-01153-9⟩ Article dans une revue hal-02189050v2
Generalized compressible flows and solutions of the H(div) geodesic problem Thomas Gallouët,Andrea Natale,François-Xavier Vialard Archive for Rational Mechanics and Analysis, 2020, 235, pp.1707-1762. ⟨10.1007/s00205-019-01453-x⟩ Article dans une revue hal-01815531v3
An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems Thomas Gallouët,Maxime Laborde,Leonard Monsaingeon ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25 (8), ⟨10.1051/cocv/2018001⟩ Article dans une revue hal-01508911v1
Simulation of multiphase porous media flows with minimizing movement and finite volume schemes Clément Cancès,Thomas Gallouët,Maxime Laborde,Léonard Monsaingeon European Journal of Applied Mathematics, 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩ Article dans une revue hal-01700952v1
Second order models for optimal transport and cubic splines on the Wasserstein space Jean-David Benamou,Thomas Gallouët,François-Xavier Vialard Foundations of Computational Mathematics, 2019, ⟨10.1007/s10208-019-09425-z⟩ Article dans une revue hal-01682107v2
The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view Thomas Gallouët,François-Xavier Vialard Journal of Differential Equations, 2018, 264 (7), ⟨10.1016/j.jde.2017.12.008⟩ Article dans une revue hal-01363647v3
A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations Thomas O Gallouët,Quentin Mérigot Foundations of Computational Mathematics, 2018, 18, pp.835-865. ⟨10.1007/s10208-017-9355-y⟩ Article dans une revue hal-01425826v2
Incompressible immiscible multiphase flows in porous media: a variational approach Clément Cancès,Thomas Gallouët,Leonard Monsaingeon Analysis & PDE, 2017, 10 (8), pp.1845-1876. ⟨10.2140/apde.2017.10.1845⟩ Article dans une revue hal-01345438v2
Blow-up phenomena for gradient flows of discrete homogeneous functionals Vincent Calvez,Thomas O. Gallouët Applied Mathematics and Optimization, 2017, ⟨10.1007/s00245-017-9443-z⟩ Article dans une revue hal-01286518v2
A JKO SPLITTING SCHEME FOR KANTOROVICH-FISHER-RAO GRADIENT FLOWS Thomas Gallouët,Leonard Monsaingeon SIAM Journal on Mathematical Analysis, 2017, 49(2) Article dans une revue hal-01273849v2
Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation Claire Chainais-Hillairet,Thomas Gallouët Nonlinear Analysis: Real World Applications, 2016, 31, pp.38-56. ⟨10.1016/j.nonrwa.2016.01.010⟩ Article dans une revue hal-01147621v1
The gradient flow structure for incompressible immiscible two-phase flows in porous media Clément Cancès,Thomas Gallouët,Léonard Monsaingeon Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2015, 353 (11), pp.985-989. ⟨10.1016/j.crma.2015.09.021⟩ Article dans une revue hal-01122770v1
Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up. Vincent Calvez,Thomas Gallouët Discrete and Continuous Dynamical Systems - Series A, 2015 Article dans une revue hal-00968347v1
On the convexity of injectivity domains on nonfocal manifolds Alessio Figalli,Thomas Gallouët,Ludovic Rifford SIAM Journal on Mathematical Analysis, 2015, 47 (2), pp.969--1000 Article dans une revue hal-00968354v1

Thèse (1)

Optimal Transport : Regularity and applications Thomas Gallouët General Mathematics [math.GM]. Ecole normale supérieure de lyon - ENS LYON, 2012. English. ⟨NNT : 2012ENSL0797⟩ Thèse tel-00793191v1