A Discontinuous Galerkin Method on Kinetic Flocking Models
نویسنده
چکیده
We study kinetic representations of flocking models. They arise from agent-based models for self-organized dynamics, such as Cucker-Smale [5] and Motsch-Tadmor [11] models. We prove the 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 schemes to solve kinetic flocking systems. CONTENTS
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