A variational approach to a fuzzy Boltzmann equation
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929318773391360 |
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| author | Erbar, Matthias He, Zihui |
| author_facet | Erbar, Matthias He, Zihui |
| contents | We study a fuzzy Boltzmann equation, where particles interact via delocalised collisions, in contrast to classical Boltzmann equations. We discuss the existence and uniqueness of solutions and provide a natural variational characterisation by casting the fuzzy Boltzmann equation into the framework of GENERIC systems (General Equations for Non-Equilibrium Reversible-Irreversible Coupling). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12032 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A variational approach to a fuzzy Boltzmann equation Erbar, Matthias He, Zihui Analysis of PDEs We study a fuzzy Boltzmann equation, where particles interact via delocalised collisions, in contrast to classical Boltzmann equations. We discuss the existence and uniqueness of solutions and provide a natural variational characterisation by casting the fuzzy Boltzmann equation into the framework of GENERIC systems (General Equations for Non-Equilibrium Reversible-Irreversible Coupling). |
| title | A variational approach to a fuzzy Boltzmann equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.12032 |