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The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds
DC Field | Value | Language |
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dc.contributor.author | Ahn, Hyunjin | - |
dc.contributor.author | HA, Seung-yeal | - |
dc.contributor.author | Kim, Doheon | - |
dc.contributor.author | Schl, Franz wilhelm | - |
dc.contributor.author | Shim, Woojoo | - |
dc.date.accessioned | 2022-08-22T09:12:42Z | - |
dc.date.available | 2022-08-22T09:12:42Z | - |
dc.date.created | 2022-06-29 | - |
dc.date.issued | 2022-09 | - |
dc.identifier.citation | Quarterly of Applied Mathematics, Vol.80 No.3, pp.403-450 | - |
dc.identifier.issn | 0033-569X | - |
dc.identifier.uri | https://hdl.handle.net/10371/184348 | - |
dc.description.abstract | We study the mean-field limit of the Cucker-Smale (C-S) model for flocking on complete smooth Riemannian manifolds. For this, we first formally derive the kinetic manifold C-S model on manifolds using the BBGKY hierarchy and derive several a priori estimates on emergent dynamics. Then, we present a rigorous mean-field limit from the particle model to the corresponding kinetic model by using the generalized particle-in-cell method. As a byproduct of our rigorous mean-field limit estimate, we also establish a global existence of a measure-valued solution for the derived kinetic model. Compared to the corresponding results on Rd, our procedure requires additional assumption on holonomy and proper a priori bound on the derivative of parallel transports. As a | - |
dc.language | 영어 | - |
dc.publisher | Brown University | - |
dc.title | The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds | - |
dc.type | Article | - |
dc.identifier.doi | 10.1090/qam/1613 | - |
dc.citation.journaltitle | Quarterly of Applied Mathematics | - |
dc.identifier.wosid | 000807140000001 | - |
dc.identifier.scopusid | 2-s2.0-85131440780 | - |
dc.citation.endpage | 450 | - |
dc.citation.number | 3 | - |
dc.citation.startpage | 403 | - |
dc.citation.volume | 80 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | HA, Seung-yeal | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
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