| Autor: |
Bresch, D, Duerinckx, M, Jabin, P. -E |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We introduce a new approach to justify 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. We postpone to a forthcoming work the development of quantitative estimates and the extension to more singular interactions. |
| Databáze: |
arXiv |
| Externí odkaz: |
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