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arXiv · 2601.10568

Hydrodynamic Limit with a Weierstrass-type result

Gabriel S. Nahum
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Abstract

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.

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Gabriel S. Nahum. 2026-01-15. Hydrodynamic Limit with a Weierstrass-type result. https://arxiv.org/abs/2601.10568

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