Self-alignment driven by jump processes: Macroscopic limit and numerical investigation

DOI10.1142/S0218202516500330zbMath1341.35170MaRDI QIDQ2809327

Giacomo Dimarco, Sebastien Motsch

Publication date: 27 May 2016

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

zbMATH Keywords

semi-Lagrangian schemesmacroscopic limitVicsek modelself-propelled particlesrelaxation systemself-organized hydrodynamic

Mathematics Subject Classification ID

Related Items (13)

Topological states and continuum model for swarmalators without force reciprocity ⋮ Discontinuous Galerkin methods for a kinetic model of self-organized dynamics ⋮ Kinetic BGK model for a crowd: crowd characterized by a state of equilibrium. ⋮ Bulk Topological States in a New Collective Dynamics Model ⋮ Macroscopic descriptions of follower-leader systems ⋮ Hyperbolicity and nonconservativity of a hydrodynamic model of swarming rigid bodies ⋮ Propagation of chaos and moderate interaction for a piecewise deterministic system of geometrically enriched particles ⋮ A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches ⋮ Kinetic Equations and Self-organized Band Formations ⋮ Pressureless Euler alignment system with control ⋮ Phase transitions and macroscopic limits in a BGK model of body-attitude coordination ⋮ Interacting Particles with Lévy Strategies: Limits of Transport Equations for Swarm Robotic Systems ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications

Uses Software

• Chemotaxis

Cites Work

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