• Corpus ID: 226965576

Mean-field limit and quantitative estimates with singular attractive kernels

@article{Bresch2020MeanfieldLA,
  title={Mean-field limit and quantitative estimates with singular attractive kernels},
  author={Didier Bresch and Pierre-Emmanuel Jabin and Zhenfu Wang},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
This paper proves the mean field limit and quantitative estimates for many-particle systems with singular attractive interactions between particles. As an important example, a full rigorous derivation (with quantitative estimates) of the Patlak-Keller-Segel model in optimal subcritical regimes is obtained for the first time. To give an answer to this longstanding problem, we take advantage of a new modulated free energy and we prove some precise large deviation estimates encoding the… 
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21 Citations
Background Citations
3
Methods Citations
4

21 Citations

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Topics in Analysis of Many Particle Systems

Depending on time and interest it will include part or all of the following topics: the Liouville/Master equations of N -particle systems, the notion of empirical measures, the BBGKY hierarchy, the Hewitt-Savage theorem, the Dobrushin’s stability estimate, the coupling method, the concepts of chaos and entropic chaos.

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