Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes

Published 29 Sep 2021 in math.PR | (2109.14491v1)

Abstract: 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.

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Tiecheng Xu

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