Uniform stability of the relativistic Cucker-Smale model and its application to a mean-field limit

DOI10.3934/cpaa.2021156zbMath1484.82021OpenAlexW3199697849MaRDI QIDQ2062567

Seung-Yeal Ha, Hyunjin Ahn, Jeong-Ho Kim

Publication date: 27 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021156

zbMATH Keywords

kinetic modelflockingrelativistic Cucker-Smale modeluniform \(\ell_{q, p}\)-stabilityuniform mean-field limit

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (8)

Nonrelativistic limits of the relativistic Cucker–Smale model and its kinetic counterpart ⋮ On the relativistic flocks over the unit sphere and the hyperboloid in a bonding force field ⋮ Asymptotic flocking dynamics of a relativistic Cucker–Smale flock under singular communications ⋮ Uniform stability of the Cucker-Smale and thermodynamic Cucker-Smale ensembles with singular kernels ⋮ Emergent behaviors of thermodynamic Cucker-Smale ensemble with a unit-speed constraint ⋮ Emergence of state-locking for the first-order nonlinear consensus model on the real line ⋮ Asymptotic flocking of the relativistic Cucker-Smale model with time delay ⋮ Non-emergence of mono-cluster flocking and multi-cluster flocking of the thermodynamic Cucker-Smale model with a unit-speed constraint

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