Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes

We study the hydrodynamic limit of SSEP with slow boundaries on hypercubes in dimension at least two. The hydrodynamic limit equation is shown to be a heat equation with three different types of boundary conditions according to the slowness of the boundary dynamics.The proof is based on Yau's r...

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Bibliographic Details
Published in:arXiv.org 2021-09
Main Author: Xu, Tiecheng
Format: Article
Language:English
Subjects:
Boundary conditions
Entropy
Hypercubes
Thermodynamics
Online Access:Get full text
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Summary:We study the hydrodynamic limit of SSEP with slow boundaries on hypercubes in dimension at least two. The hydrodynamic limit equation is shown to be a heat equation with three different types of boundary conditions according to the slowness of the boundary dynamics.The proof is based on Yau's relative entropy method.
ISSN:2331-8422