A discontinuous Galerkin method on kinetic flocking models

DOI10.1142/S0218202517400139zbMath1376.65131arXiv1409.5509MaRDI QIDQ5272432

Changhui Tan

Publication date: 29 June 2017

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5509

zbMATH Keywords

numerical experimentsdiscontinuous Galerkin methodclustersflockingpositivity-preservingsemidiscrete schemes{\(\delta\)}-singularity

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (9)

Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces ⋮ Uniform-in-time bound for kinetic flocking models ⋮ On the Euler-alignment system with weakly singular communication weights ⋮ Efficient numerical methods for multiscale crowd dynamics with emotional contagion ⋮ Global regularity for the fractional Euler alignment system ⋮ An asymptotic preserving scheme for kinetic models with singular limit ⋮ Challenges in active particles methods: Theory and applications ⋮ Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays ⋮ Mathematical models of self-propelled particles

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