LisMath Seminar 

26/04/2021, 14:00 — 14:30 — Online
Renato Ricardo de Paula, LisMath, Instituto Superior Técnico, Universidade de Lisboa

Hydrodynamic behavior of a degenerate microscopic dynamics with slow reservoirs

In recent years, there has been intensive research activity around the derivation of partial differential equations with boundary conditions from interacting particle systems. This derivation is known as hydrodynamic limit. In this seminar we will discuss how to derive the porous medium equation with Dirichlet, Neumann, and Robin boundary conditions, from a random microscopic dynamics with slow reservoirs.