A GLOBAL WELL-POSEDNESS AND ASYMPTOTIC DYNAMICS OF THE KINETIC WINFREE EQUATION
DC Field | Value | Language |
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dc.contributor.author | Ha, Seung-Yeal | - |
dc.contributor.author | Park, Jinyeong | - |
dc.contributor.author | Zhang, Xiongtao | - |
dc.date.accessioned | 2022-07-08T06:09:58Z | - |
dc.date.available | 2022-07-08T06:09:58Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2020-04 | - |
dc.identifier.issn | 1531-3492 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145881 | - |
dc.description.abstract | We study a global well-posedness and asymptotic dynamics of measure-valued solutions to the kinetic Winfree equation. For this, we introduce a second-order extension of the first-order Winfree model on an extended phase-frequency space. We present the uniform(-in-time) l(p)-stability estimate with respect to initial data and the equivalence relation between the original Winfree model and its second-order extension. For this extended model, we present uniform-in-time mean-field limit and large-time behavior of measure-valued solution for the second-order Winfree model. Using stability and asymptotic estimates for the extended model and the equivalence relation, we recover the uniform mean-field limit and large-time asymptotics for the Winfree model. 200 words. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | A GLOBAL WELL-POSEDNESS AND ASYMPTOTIC DYNAMICS OF THE KINETIC WINFREE EQUATION | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Jinyeong | - |
dc.identifier.doi | 10.3934/dcdsb.2019229 | - |
dc.identifier.scopusid | 2-s2.0-85077565787 | - |
dc.identifier.wosid | 000505581000007 | - |
dc.identifier.bibliographicCitation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v.25, no.4, pp.1317 - 1344 | - |
dc.relation.isPartOf | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
dc.citation.title | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
dc.citation.volume | 25 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1317 | - |
dc.citation.endPage | 1344 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | PHASE-LOCKED STATES | - |
dc.subject.keywordPlus | KURAMOTO MODEL | - |
dc.subject.keywordPlus | SYNCHRONIZATION | - |
dc.subject.keywordPlus | OSCILLATORS | - |
dc.subject.keywordPlus | NETWORKS | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | EMERGENCE | - |
dc.subject.keywordPlus | LIMIT | - |
dc.subject.keywordAuthor | Mean-field limit | - |
dc.subject.keywordAuthor | measure-valued solution | - |
dc.subject.keywordAuthor | synchronization | - |
dc.subject.keywordAuthor | the Win-free model | - |
dc.subject.keywordAuthor | asymptotic behavior | - |
dc.identifier.url | https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019229 | - |
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