Universal approximations of quasilinear PDEs by finite distinguishable particle systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929682384945152 |
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| author | Paul, Thierry Trélat, Emmanuel |
| author_facet | Paul, Thierry Trélat, Emmanuel |
| contents | In this paper, we prove that sufficiently regular solutions of any quasilinear PDE can be approximated by solutions of systems of N distinguishable particles, to within 1/ ln(N ). This intruiguing result is related to recent developments in graph limit theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11387 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal approximations of quasilinear PDEs by finite distinguishable particle systems Paul, Thierry Trélat, Emmanuel Analysis of PDEs In this paper, we prove that sufficiently regular solutions of any quasilinear PDE can be approximated by solutions of systems of N distinguishable particles, to within 1/ ln(N ). This intruiguing result is related to recent developments in graph limit theory. |
| title | Universal approximations of quasilinear PDEs by finite distinguishable particle systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.11387 |