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• W4310269826 abstract "This is a review based on the presentation done at the seminar Laurent Schwartz in December 2021. It is announcing results in the forthcoming [MMM22]. 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 both the so-called “block estimates”." @default.
• W4310269826 created "2022-11-30" @default.
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• W4310269826 date "2022-11-29" @default.
• W4310269826 modified "2023-09-26" @default.
• W4310269826 title "A consistence-stability approach to hydrodynamic limit of interacting particle systems on lattices" @default.
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• W4310269826 doi "https://doi.org/10.5802/slsedp.154" @default.
• W4310269826 hasPublicationYear "2022" @default.
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