Passing to the limit in fuzzy Boltzmann equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918014658543616 |
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| author | Erbar, Matthias He, Zihui |
| author_facet | Erbar, Matthias He, Zihui |
| contents | We study a fuzzy Boltzmann equation, where collisions are delocalised and modulated by a spatial kernel. We show that as the spatial kernel converges to a delta distribution, the solutions to these equations converge to renormalised solutions of the inhomogeneous Boltzmann equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Passing to the limit in fuzzy Boltzmann equations Erbar, Matthias He, Zihui Analysis of PDEs We study a fuzzy Boltzmann equation, where collisions are delocalised and modulated by a spatial kernel. We show that as the spatial kernel converges to a delta distribution, the solutions to these equations converge to renormalised solutions of the inhomogeneous Boltzmann equations. |
| title | Passing to the limit in fuzzy Boltzmann equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.05838 |