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3 papers
Metric extrapolation in the Wasserstein space
Thomas O. Gallouët, Andrea Natale, Gabriele Todeschi
In this article we study a variational problem providing a way to extend for all times minimizing geodesics connecting two given probability measures, in the Wasserstein space. Thi…
A variational finite volume scheme for Wasserstein gradient flows
Clément Cancès, Thomas O. Gallouët, Gabriele Todeschi
We propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient flows. The time discretization is based on an implicit linearization of the Wasse…
Blow-up phenomena for gradient flows of discrete homogeneous functionals
Vincent Calvez, Thomas Gallouët
We investigate gradient flows of some homogeneous functionals in R^N , arising in the Lagrangian approximation of systems of self-interacting and diffusing particles. We focus on t…