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Seminar
FIELD Math:Analysis
DATE January 26 (Tue), 2021
TIME 14:00-15:00
PLACE Online
SPEAKER Choi, Young-Pil
HOST Jeong, In-Jee
INSTITUTE 연세대학교
TITLE Quantified overdamped limit for Vlasov-Fokker-Planck equations with singular interaction forces
ABSTRACT In this talk, I will discuss a quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with nonlocal interaction forces. We provide explicit bounds on the error between solutions of that kinetic equation and the limiting equation, which is known under the names of aggregation-diffusion equation or McKean-Vlasov equation. Our strategy only requires weak integrability of the interaction potentials, thus in particular it includes the quantified overdamped limit of the kinetic Vlasov-Poisson-Fokker-Planck system to the aggregation-diffusion equation with either repulsive electrostatic or attractive gravitational interactions.
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