A discontinuous Galerkin method on kinetic flocking models

Preprint English OPEN
Tan, Changhui (2014)
  • Subject: 65M60, 92C45 | Mathematics - Numerical Analysis
    arxiv: Computer Science::Multiagent Systems

We study kinetic representations of flocking models. They arise from agent-based models for self-organized dynamics, such as Cucker-Smale and Motsch-Tadmor models. We prove flocking behavior for the kinetic descriptions of flocking systems, which indicates a concentration in velocity variable in infinite time. We propose a discontinuous Galerkin method to treat the asymptotic $\delta$-singularity, and construct high order positive preserving scheme to solve kinetic flocking systems.
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