**abstract:**
We discuss the new notion of EDP convergence for gradient systems.
This convergence is based on De Giorgi's energy-dissipation
principle (EDP) and has the property we can study coarse-graining
limits for families \( (Q,\mathcal E_\varepsilon, \mathcal R_\varepsilon) \)
of gradient systems. While the energies \( \mathcal E_\varepsilon \)
simply converge in the sense of De Giorgi's Gamma convergence,
the emergence of the effective dissipation potential
\( \mathcal R_\mathrm{eff} \) is more involved.

We will show that starting from Wasserstein gradient flows, where the dissipation potential is quadratic, we can obtain non-quadratic effective dissipation potential. We will exemplify this (i) for the membrane limit of a thin layer of low mobility and (ii) for the limit passage from diffusion to reaction.

References: WIAS preprints 2148 and 2459.

Tue 13 Nov, 14:30 - 15:20, Aula Dini

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