Global-in-time mean-field convergence for singular Riesz-type diffusive flows
نویسندگان
چکیده
We consider the mean-field limit of systems particles with singular interactions type −log|x| or |x|−s, 00, is global time, it first such result valid for both conservative gradient flows setting on Rd. The proof relies adaptation argument Carlen–Loss (Duke Math. J. 81 (1995) 135–157) show decay equation, improvement method developed (SIAM Anal. 48 (2016) 2269–2300; Duke 169 (2020) 2887–2935; Nguyen, Rosenzweig Serfaty (2021)), making so that all prefactors time derivative modulated energy are controlled by decaying bound solution.
منابع مشابه
Mean-Field Limits for Some Riesz Interaction Gradient Flows
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ژورنال
عنوان ژورنال: Annals of Applied Probability
سال: 2023
ISSN: ['1050-5164', '2168-8737']
DOI: https://doi.org/10.1214/22-aap1833