Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel

@article{Olivera2020QuantitativePA,
  title={Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel},
  author={Christian Olivera and Alexandre Richard and Milica Toma{\vs}evi{\'c}},
  journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE},
  year={2020}
}
We propose a new approach to obtain quantitative convergence of moderately interacting particle systems to solutions of nonlinear Fokker-Planck equations with singular kernels. Our result only requires very weak regularity on the interaction kernel, including the Biot-Savart kernel, the family of Keller-Segel kernels in arbitrary dimension, and more generally singular Riesz kernels. This seems to be the first time that such quantitative convergence results are obtained in Lebesgue and… 
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6 Citations
Background Citations
3
Methods Citations
2

6 Citations

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