Gradient flows and interacting particle systems

Lundi 13 novembre 2017, 11:00 à 12:00

Salle de séminaire M.0.1

Nicolas Dirr

(Cardiff University)

Nonlinear diffusion is an example of a gradient flow which arises as hydrodynamic limit of interacting particle systems. We will explain recent attempts to connect the macroscopic gradient flow structure, given by a  functional (entropy/free energy) and a metric, directly to a microscopic interacting particle system. (Joint work with P. Embacher, C. Reina, M. Stamatakis and J. Zimmer)