A discontinuous Galerkin method on kinetic flocking models

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

References in corpus (2)

• A new model for self-organized dynamics and its flocking behavior
• Critical thresholds in flocking hydrodynamics\\with nonlocal alignment

Cited by in corpus (2)

• Global regularity for the fractional Euler alignment system
• On the Euler-Alignment system with weakly singular communication weights