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math-ph2021
On the hydrodynamics of active matter models on a lattice
Clément Erignoux
Active matter has been widely studied in recent years because of its rich phenomenology, whose mathematical understanding is still partial. We present some results, based on [8, 17…
math-ph2019
Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part I, the critical regime and beyond
Clément Erignoux, Patricia Gonçalves, Gabriel Nahum
The purpose of this article is to provide a simple proof of the hydrodynamic and hydrostatic behavior of the SSEP in contact with slowed reservoirs which inject and remove particle…