Top-level heading

Quantitative framework for hydrodynamic limits

Data e ora inizio evento
Data e ora fine evento
Sede

Dipartimento di Matematica Guido Castelnuovo

Aula
Sala di Consiglio
Speaker ed affiliazione
Angeliki Menegaki (IHES, Paris )
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).
Contatti/Organizzatori
Giada Basile basile@mat.uniroma1.it ; Domenico Monaco monaco@mat.uniroma1.it