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arXiv · 2109.14491

Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes

Tiecheng Xu
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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. 2021-09-29. Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes. https://arxiv.org/abs/2109.14491

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