A consistence-stability approach to hydrodynamic limit of interacting particle systems on lattices

Autor:	Menegaki, Angeliki, Mouhot, Clément
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	This is a review based on the presentation done at the seminar Laurent Schwartz in December 2021. It is announcing results in the forthcoming [Menegaki-Mouhot-Marahrens'22]. This work presents a new simple quantitative method for proving the hydrodynamic limit of a class of interacting particle systems on lattices. We present here this method in a simplified setting, for the zero-range process and the Ginzburg-Landau process with Kawasaki dynamics, in the parabolic scaling and in dimension $1$. The rate of convergence is quantitative and uniform in time. The proof relies on a consistence-stability approach in Wasserstein distance, and it avoids the use of the ``block estimates''. Comment: 12 pages, 1 figure, seminar proceeding, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.00079 Zobrazit plný text záznamu View this record from Arxiv