Thomas Gallouët

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Publications

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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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