A duality method for mean-field limits with singular interactions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909486524923904 |
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| author | Bresch, Didier Duerinckx, Mitia Jabin, Pierre-Emmanuel |
| author_facet | Bresch, Didier Duerinckx, Mitia Jabin, Pierre-Emmanuel |
| contents | We introduce a new approach to derive mean-field limits for first- and second-order particle systems with singular interactions. It is based on a duality approach combined with the analysis of linearized dual correlations, and it allows to cover for the first time arbitrary square-integrable interaction forces at possibly vanishing temperature. In case of first-order systems, it allows to recover in particular the mean-field limit to the 2d Euler and Navier-Stokes equations. The approach also provides convergence rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04695 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A duality method for mean-field limits with singular interactions Bresch, Didier Duerinckx, Mitia Jabin, Pierre-Emmanuel Analysis of PDEs Mathematical Physics We introduce a new approach to derive mean-field limits for first- and second-order particle systems with singular interactions. It is based on a duality approach combined with the analysis of linearized dual correlations, and it allows to cover for the first time arbitrary square-integrable interaction forces at possibly vanishing temperature. In case of first-order systems, it allows to recover in particular the mean-field limit to the 2d Euler and Navier-Stokes equations. The approach also provides convergence rates. |
| title | A duality method for mean-field limits with singular interactions |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2402.04695 |