Nonlocal flocking dynamics: Learning the fractional order of PDEs from particle simulations

27 Oct 2018Zhiping MaoZhen LiGeorge Em Karniadakis

Flocking refers to collective behavior of a large number of interacting entities, where the interactions between discrete individuals produce collective motion on the large scale. We employ an agent-based model to describe the microscopic dynamics of each individual in a flock, and use a fractional PDE to model the evolution of macroscopic quantities of interest... (read more)

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