One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity

DOI10.1016/j.jde.2021.04.002zbMath1466.34044arXiv2006.07813OpenAlexW3144835672MaRDI QIDQ2020219

Young-Pil Choi, Xiongtao Zhang

Publication date: 23 April 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07813

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Animal behavior (92D50)

Related Items (8)

Uniform stability of the Cucker-Smale and thermodynamic Cucker-Smale ensembles with singular kernels ⋮ On the stochastic robustness of complete clustering predictability for a first‐order consensus model ⋮ Heterogeneous gradient flows in the topology of fibered optimal transport ⋮ Emergence of state-locking for the first-order nonlinear consensus model on the real line ⋮ The stochastic flocking model with far-field degenerate communication ⋮ From BGK-alignment model to the pressured Euler-alignment system with singular communication weights ⋮ Local well-posedness for the kinetic Cucker-Smale model with super-Coulombic communication weights ⋮ Pattern formation of the Cucker–Smale type kinetic models based on gradient flow

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