CORDIS Project
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This project focuses on a mathematical method for approximating solutions to partial differential equations using a time-discretization technique based on the Wasserstein distance. It aims to enhance both theoretical understanding and numerical applications in various fields, including diffusion processes and crowd mot…
The project deals with the so-called Jordan-Kinderlehrer-Otto scheme, a time-discretization procedure consisting in a sequence ofiterated optimization problems involving the Wasserstein distance W_2 between probability measures.
This scheme allows toapproximate the solutions of a wide class of PDEs (including many diffusion equations with possible aggregation effects) which havea variational structure w.r.t. the distance W_2 but not w.r.t.
Hilbertian distances.
It has been used both for theoreti…
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