Hydrodynamic Limit with a Weierstrass-type result
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917219217178624 |
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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 |