Local well-posedness of classical solutions for the kinetic self-organized model of Cucker-Smale type

DOI10.1002/mma.9974MaRDI QIDQ6560036

Qingxia Ma, Yong-Shen Zhou, Teng-Fei Zhang

Publication date: 21 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

singularitylocal well-posednessCucker-Smale typekinetic self-organized system

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Fokker-Planck equations (35Q84) PDEs in connection with statistical mechanics (35Q82)

Cites Work

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• Hydrodynamic Limits of the Kinetic Self-Organized Models
• ASYMPTOTIC FIXED-SPEED REDUCED DYNAMICS FOR KINETIC EQUATIONS IN SWARMING
• Fluid models with phase transition for kinetic equations in swarming
• CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
• Cucker-Smale Flocking With Inter-Particle Bonding Forces
• Reduced fluid models for self-propelled particles interacting through alignment
• Emergent Behavior in Flocks

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