I am currently a research fellow at Inria Paris in the MOKAPLAN team. I was previously a scientific collaborator at the University of Liège (ULg) in Yvik Swan's team. The goal was to work on the interactions between probabilities, statisitics and optimal transport. I also did a one-year post-doctoral fellowship at CMLS-Ecole polytechnique under the supervision of Yann Brenier and Quentin Mérigot and a post-doctoral fellowship with Claire Chainais-Hillairet and Antoine Gloria in the Mephysto team on, among others, corrosion problems. The first part of this post-doctoral work was funded by ANDRA and located at Inria Lille. The second part was at the Université libre de Bruxelles. I did my thesis at UMPA (ENS Lyon) under the supervision of Cédric Villani and with the main subject of optimal transport.
Gallouët T., Mérigot Q., Natale A. (2022), Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow, SIAM Journal on Mathematical Analysis, vol. 54, n°3, p. 2990-3018
Cancès C., Gallouët T., Todeschi G. (2020), A variational finite volume scheme for Wasserstein gradient flows, Numerische Mathematik, p. 34
Gallouët T., Natale A., Vialard F-X. (2020), Generalized compressible flows and solutions of the H(div) geodesic problem, Archive for Rational Mechanics and Analysis, n°235, p. 1707–1762
Benamou J-D., Gallouët T., Vialard F-X. (2019), Second order models for optimal transport and cubic splines on the Wasserstein space, Foundations of Computational Mathematics, n°19, p. 1113–1143
Cancès C., Gallouët T., Laborde M., Monsaingeon L. (2019), Simulation of multiphase porous media flows with minimizing movement and finite volume schemes, European Journal of Applied Mathematics, vol. 30, n°6, p. 1123-1152
Gallouët T., Laborde M., Monsaingeon L. (2019), An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems, ESAIM. Control, Optimisation and Calculus of Variations, vol. 25, n°8
Gallouët T., Vialard F-X. (2018), The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view, Journal of Differential Equations, vol. 264, n°7, p. 4199-4234
Gallouët T., Mérigot Q. (2018), A Lagrangian Scheme à la Brenier for the Incompressible Euler Equations, Foundations of Computational Mathematics, vol. 18, n°4, p. 835–865
Gallouët T., Natale A., Todeschi G. (2022), From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 40 p.
Gallouët T., Natale A., Vialard F-X. (2018), Generalized compressible fluid flows and solutions of the Camassa-Holm variational model, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 28 p.
Gallouët T., Mijoule G., Swan Y. (2018), Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 14 p.