Macroscopic models of collective motion and self-organization

DOI10.5802/slsedp.32zbMath1319.35267arXiv1304.6040OpenAlexW2137232124MaRDI QIDQ2354216

Jian-Guo Liu, Laurent Navoret, Pierre Degond, Sebastien Motsch, Amic Frouvelle

Publication date: 10 July 2015

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6040

zbMATH Keywords

von Mises-Fisher distributionFokker-Planck equationmacroscopic limitindividual-based modelsself-organized hydrodynamicsself-propelled particlesself-alignmentmean-field kinetic modelViscek model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Population dynamics (general) (92D25) Transport processes in time-dependent statistical mechanics (82C70) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Animal behavior (92D50) Fokker-Planck equations (35Q84)

Related Items (7)

Transport of congestion in two-phase compressible/incompressible flows ⋮ A local existence of viscous self-organized hydrodynamic model ⋮ Existence of solution for a system of repulsion and alignment: comparison between theory and simulation ⋮ Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces ⋮ Self-alignment driven by jump processes: Macroscopic limit and numerical investigation ⋮ Coupled self-organized hydrodynamics and Navier-Stokes models: local well-posedness and the limit from the self-organized kinetic-fluid models ⋮ Hydrodynamic Limits of the Kinetic Self-Organized Models

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