Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박진영 | - |
dc.date.accessioned | 2021-11-02T05:35:44Z | - |
dc.date.available | 2021-11-02T05:35:44Z | - |
dc.date.issued | 2020-04 | - |
dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 25, no. 4, page. 1317-1344 | en_US |
dc.identifier.issn | 1531-3492 | - |
dc.identifier.issn | 1553-524X | - |
dc.identifier.uri | http://www.aimsciences.org/article/doi/10.3934/dcdsb.2019229 | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/166135 | - |
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. | en_US |
dc.description.sponsorship | The work of S.-Y. Ha is supported by National Research Foundation of Korea(NRF-2017R1A2B2001864), and the work of J. Park has been supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2018R1C1B5043861). The work of X. Zhang is supported by the National Natural Science Foundation of China (Grant No. 11801194). | en_US |
dc.language.iso | en | en_US |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | en_US |
dc.subject | Mean-field limit | en_US |
dc.subject | measure-valued solution | en_US |
dc.subject | synchronization | en_US |
dc.subject | the Win-free model | en_US |
dc.subject | asymptotic behavior | en_US |
dc.title | A GLOBAL WELL-POSEDNESS AND ASYMPTOTIC DYNAMICS OF THE KINETIC WINFREE EQUATION | en_US |
dc.type | Article | en_US |
dc.relation.no | 4 | - |
dc.relation.volume | 25 | - |
dc.identifier.doi | 10.3934/dcdsb.2019229 | - |
dc.relation.page | 1317-1344 | - |
dc.relation.journal | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | - |
dc.contributor.googleauthor | Ha, Seung-Yeal | - |
dc.contributor.googleauthor | Park, Jinyeong | - |
dc.contributor.googleauthor | Zhang, Xiongtao | - |
dc.relation.code | 2020052072 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | jinyeongpark | - |
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