Institut für Mathematik


Modul:   MAT675  PDE and Mathematical Physics

Quantitative framework for hydrodynamic limits

Vortrag von Angeliki Menegaki

Datum: 30.03.23  Zeit: 16.00 - 17.00  Raum: ETH HG G 19.1 CANCELLED

We will present a new quantitative approach to the problem of proving hydrodynamic limits from microscopic stochastic particle systems, namely the zero-range and the Ginzburg-Landau process with Kawasaki dynamics, to macroscopic partial differential equations. Our method combines a modulated Wasserstein-distance estimate comparing the law of the stochastic process to the local Gibbs measure, together with stability estimates a la Kruzhkov in weak distance and consistency estimates exploiting the regularity of the limit solution. It is simplified as it avoids the use of the block estimates. This is a joint work with Daniel Marahrens and Clément Mouhot (University of Cambridge).