Local well-posedness for the kinetic Cucker-Smale model with super-Coulombic communication weights

DOI10.1016/j.jde.2023.05.021zbMath1516.35409MaRDI QIDQ6155322

Jinwook Jung, Young-Pil Choi

Publication date: 12 June 2023

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

zbMATH Keywords

well-posednessaveraging lemmakinetic Cucker-Smale modelsingular communication weights

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82) PDEs with measure (35R06) Classical solutions to PDEs (35A09)

Cites Work

• Unnamed Item
• Unnamed Item
• On collision-avoiding initial configurations to Cucker-Smale type flocking models
• Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight
• From particle to kinetic and hydrodynamic descriptions of flocking
• Regularity of the moments of the solution of a transport equation
• The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness
• Uniform stability of the Cucker-Smale model and its application to the mean-field limit
• One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity
• Mean-field limits: from particle descriptions to macroscopic equations
• A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
• Sharp conditions to avoid collisions in singular Cucker-Smale interactions
• Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
• Local well-posedness of the generalized Cucker-Smale model with singular kernels
• Singular Cucker–Smale Dynamics
• The Kinetic Cucker--Smale Model: Well-Posedness and Asymptotic Behavior
• Emergent Behavior in Flocks

This page was built for publication: Local well-posedness for the kinetic Cucker-Smale model with super-Coulombic communication weights