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arXiv · 1409.5509

A discontinuous Galerkin method on kinetic flocking models

Changhui Tan
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Abstract

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 $δ$-singularity, and construct high order positive preserving scheme to solve kinetic flocking systems.

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Changhui Tan. 2014-09-19. A discontinuous Galerkin method on kinetic flocking models. https://doi.org/10.1142/s0218202517400139

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