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Flocking with short-range interactions (Q2315177)

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Language	Label	Description	Also known as
English	Flocking with short-range interactions	scientific article

Statements

scholarly article

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Flocking with short-range interactions (English)

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Journal of Statistical Physics

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publication date

1 August 2019

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full work available at URL

https://arxiv.org/abs/1812.03567

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zbMATH Keywords

alignment

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Cucker-Smale

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agent-based system

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large-crowd hydrodynamics

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interaction kernels

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short-range

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chain connectivity

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flocking

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MaRDI profile type

MaRDI publication profile

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Sharp conditions to avoid collisions in singular Cucker-Smale interactions

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Particle, kinetic, and hydrodynamic models of swarming

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Critical thresholds in 1D Euler equations with non-local forces

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Emergent Behavior in Flocks

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On the mathematics of emergence

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Regular solutions to the fractional Euler alignment system in the Besov spaces framework

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Global regularity for the fractional Euler alignment system

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A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment

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Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings

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Uniform stability and mean-field limit for the augmented Kuramoto model

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A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

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From particle to kinetic and hydrodynamic descriptions of flocking

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Flocking dynamics and mean-field limit in the Cucker-Smale-type model with topological interactions

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Global regularity of two-dimensional flocking hydrodynamics

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Flocking of the Motsch-Tadmor model with a cut-off interaction function

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A new model for self-organized dynamics and its flocking behavior

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Heterophilious Dynamics Enhances Consensus

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The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness

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Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight

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Discrete Cucker--Smale Flocking Model with a Weakly Singular Weight

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Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models

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Global existence and stability of nearly aligned flocks

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Eulerian dynamics with a commutator forcing

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Eulerian dynamics with a commutator forcing. II: Flocking

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Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\)

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Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions

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Critical thresholds in flocking hydrodynamics with non-local alignment

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Singularity formation for a fluid mechanics model with nonlocal velocity

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Identifiers

zbMATH Open document ID

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10.1007/s10955-019-02304-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2315177

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