Professeur Agrégé à l'IUT de Saint-Denis
Département Gestion des Entreprises et Administrations
Email: thibault.caillet.mail[at]gmail.com or thibault.caillet[at]univ-paris13.fr
Bureau: E408 IUT Saint-Denis, Bât E 4è étage
Enseignement
Research
During my PhD, I was interested in Optimal Transportation and more precisely in the so called generalized Jordan-Kinderlerher-Otto scheme, which is a time-discretization scheme for a certain class of evolution PDEs based on iterated optimization problems using the p-Wasserstein distance.
Published papers
T. Caillet. The five gradients inequality for non quadratic costs. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 715-721. doi : 10.5802/crmath.444.
T. Caillet and F. Santambrogio. Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows. SIAM Journal on Mathematical Analysis, Vol. 56, No. 6 (2024), pp. 7043–7073. doi : 10.1137/24M1639427
T. Caillet and F. Santambrogio. Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme). Bulletin of the Hellenic Mathematical Society (2025)