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• W2531317137 abstract "We consider a $N$-particle interacting particle system with the vision geometrical constraints and reflected noises, proposed as a model for collective behavior of individuals. We rigorously derive a continuity-type of mean-field equation with discontinuous kernels and the normal reflecting boundary conditions from that stochastic particle system as the number of particles $N$ goes to infinity. More precisely, we provide a quantitative estimate of the convergence in law of the empirical measure associated to the particle system to a probability measure which possesses a density which is a weak solution to the continuity equation. This extends previous results on an interacting particle system with bounded and Lipschitz continuous drift terms and normal reflecting boundary conditions by Sznitman[J. Funct. Anal., 56, (1984), 311--336] to that one with discontinuous kernels." @default.
• W2531317137 created "2016-10-21" @default.
• W2531317137 creator A5063814280 @default.
• W2531317137 creator A5090699972 @default.
• W2531317137 date "2016-10-11" @default.
• W2531317137 modified "2023-09-27" @default.
• W2531317137 title "Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones" @default.
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• W2531317137 hasPublicationYear "2016" @default.
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