Email: thibault.caillet.mail[at]gmail.com or caillet[at]math.univ-lyon1.fr
Office: Bâtiment Braconnier, 109E
Research
I am 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. I am currently doing a PhD under the supervision of Filippo Santambrogio on this subject.
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
Preprints
T. Caillet, F. Santambrogio. Doubly nonlinear diffusive PDEs: new existence results via generalized Wasserstein gradient flows. https://arxiv.org/abs/2402.02882
Teaching