Anticipation breeds alignment

DOI10.1007/s00205-021-01609-8zbMath1478.37009arXiv1905.00633OpenAlexW3129351747MaRDI QIDQ2662024

Ruiwen Shu, Eitan Tadmor

Publication date: 8 April 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00633

zbMATH Keywords

Cucker-Smale modelradial potentialsanticipated-based dynamics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Dynamical aspects of statistical mechanics (37A60)

Related Items (11)

Hydrodynamic alignment with pressure II. Multi-species ⋮ Critical Threshold for Global Regularity of the Euler--Monge--Ampère System with Radial Symmetry ⋮ Swarming: hydrodynamic alignment with pressure ⋮ Learning theory for inferring interaction kernels in second-order interacting agent systems ⋮ The large-time behavior of the Vlasov alignment model with power-law or Riesz potentials ⋮ Flocking of the Cucker-Smale and Motsch-Tadmor models on general weighted digraphs via a probabilistic method ⋮ Asymptotic behavior of the linear consensus model with delay and anticipation ⋮ A Cucker-Smale flocking model with the Hessian communication weight and its first-order reduction ⋮ Grassmannian reduction of Cucker-Smale systems and dynamical opinion games ⋮ Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior ⋮ Equilibration of Aggregation-Diffusion Equations with Weak Interaction Forces

Cites Work

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