Stochastic Cucker-Smale flocking dynamics of jump-type

DOI10.3934/krm.2020008zbMath1437.35661arXiv1806.05846OpenAlexW3000209633WikidataQ126315111 ScholiaQ126315111MaRDI QIDQ2178470

Oleksandr Kutoviy, Martin Friesen

Publication date: 11 May 2020

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05846

zbMATH Keywords

propagation of chaosWasserstein distanceflockingtotal variation distancemean-field equationCucker-Smale dynamicsMcKean-Vlasov stochastic equation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stability in context of PDEs (35B35) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Developmental biology, pattern formation (92C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06)

Related Items

Propagation of chaos and moderate interaction for a piecewise deterministic system of geometrically enriched particles ⋮ Pathwise regularisation of singular interacting particle systems and their mean field limits ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications ⋮ Phase Transition and Asymptotic Behavior of Flocking Cucker--Smale Model

Cites Work

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• Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules
• Kac's program in kinetic theory
• Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing
• Emergent dynamics of Cucker-Smale flocking particles in a random environment
• From particle to kinetic and hydrodynamic descriptions of flocking
• On the mathematics of emergence
• The global well-posedness of the kinetic Cucker-Smale flocking model with chemotactic movements
• The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness
• Quantitative estimates of propagation of chaos for stochastic systems with \(W^{-1,\infty}\) kernels
• Particle, kinetic and fluid models for phototaxis
• The Enskog process for hard and soft potentials
• Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition
• A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
• On the well-posedness of the spatially homogeneous Boltzmann equation with a moderate angular singularity
• The Enskog process
• Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
• Equivalence of Stochastic Equations and Martingale Problems
• Control to Flocking of the Kinetic Cucker--Smale Model
• Cucker–Smale Flocking under Hierarchical Leadership
• Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
• Stochastic flocking dynamics of the Cucker–Smale model with multiplicative white noises
• Emergent Behavior in Flocks
• Optimal Transport

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