On weak solutions to the kinetic Cucker-Smale model with singular communication weights

DOI10.1090/proc/16837zbMATH Open1543.35235MaRDI QIDQ6566390

Jinwook Jung, Young-Pil Choi

Publication date: 3 July 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

weak solutionskinetic Cucker-Smale modellog-Lipschitz estimatesingular communication weights

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Statistical mechanics of magnetic materials (82D40) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
• Local well-posedness of the generalized Cucker-Smale model with singular kernels
• Existence of Weak Solutions to Kinetic Flocking Models
• Singular Cucker–Smale Dynamics
• Emergent Behavior in Flocks
• Local well-posedness for the kinetic Cucker-Smale model with super-Coulombic communication weights
• Inevitable monokineticity of strongly singular alignment

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