Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - University of Rouen Normandy

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)