Hydrodynamic Limit with a Weierstrass-type result

Fuente: arXiv
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Autor principal: Nahum, Gabriel S.
Formato: Preprint
Publicado: 2026
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author Nahum, Gabriel S.
author_facet Nahum, Gabriel S.
contents We show that any positive, continuous, and bounded function can be realised as the diffusion coefficient of an evolution equation associated with a gradient interacting particle system. The proof relies on the construction of an appropriate model and on the entropy method.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10568
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hydrodynamic Limit with a Weierstrass-type result
Nahum, Gabriel S.
Probability
60K35, 35R11, 35S15
We show that any positive, continuous, and bounded function can be realised as the diffusion coefficient of an evolution equation associated with a gradient interacting particle system. The proof relies on the construction of an appropriate model and on the entropy method.
title Hydrodynamic Limit with a Weierstrass-type result
topic Probability
60K35, 35R11, 35S15
url https://arxiv.org/abs/2601.10568