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Propagation of the mono-kinetic solution in the Cucker-Smale-type kinetic equations

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Publication:2023550
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DOI10.4310/CMS.2020.v18.n5.a3zbMath1464.35231arXiv1909.07525MaRDI QIDQ2023550

Moon-Jin Kang, Jeong-Ho Kim

Publication date: 3 May 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07525


zbMATH Keywords

kinetic equationhydrodynamic equationsCucker-Smale modelthermomechanical Cucker-Smale modelmono-kinetic solution


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06)


Related Items (3)

Large coupling in a FitzHugh-Nagumo neural network: quantitative and strong convergence results ⋮ First-order reduction and emergent behavior of the one-dimensional kinetic Cucker-Smale equation ⋮ Hydrodynamic limit of a coupled Cucker–Smale system with strong and weak internal variable relaxation




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