Well-posedness for systems of self-propelled particles

DOI10.3934/krm.2023036zbMath1545.35001MaRDI QIDQ6586960

Nicolas Meunier, Marc Briant

Publication date: 13 August 2024

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

zbMATH Keywords

well-posednesscollective dynamicsVicsek modelnonlinear Fokker-Planck equation on the spherenormalized interaction kernelsVicsek-Kolmogorov equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) General biology and biomathematics (92B05) Integro-partial differential equations (35R09) Fokker-Planck equations (35Q84)

Cites Work

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• Cauchy Theory for General Kinetic Vicsek Models in Collective Dynamics and Mean-Field Limit Approximations

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