Entropic numerical approximations for cross-diffusion systems arising in physics

par Benoît Gaudeul (ICJ)

mardi 9 nov. 2021, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Bâtiment Braconnier, La Doua)

In a short introduction, I will explain what is cross diffusion, physical phenomenons producing these systems, an example of these systems and a few key mathematical challenges and results.

Then I will illustrate the key ideas of the discretization and numerical analysis of the example presented in the introduction in a simplified setting. After that, I intend to provide a brief explanation on how these techniques should be adapted to the full system.

If there is enough time, I would like to give a brief overview on a way to couple distinct possibly non-smooth physical phenomena in a thermodynamically consistant way.