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A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ha, Seung-Yeal | - |
| dc.contributor.author | Jung, Jinwook | - |
| dc.contributor.author | Kim, Jeongho | - |
| dc.contributor.author | Park, Jinyeong | - |
| dc.contributor.author | Zhang, Xiongtao | - |
| dc.date.accessioned | 2022-07-06T17:40:23Z | - |
| dc.date.available | 2022-07-06T17:40:23Z | - |
| dc.date.created | 2021-07-14 | - |
| dc.date.issued | 2021-06 | - |
| dc.identifier.issn | 1937-5093 | - |
| dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/141809 | - |
| dc.description.abstract | We present a mean-field limit of the particle swarmalator model introduced in [46] with singular communication weights. For a mean-field limit, we employ a probabilistic approach for the propagation of molecular chaos and suitable cut-offs in singular terms, which results in the validation of the meanfield limit. We also provide a local-in-time well-posedness of strong and weak solutions to the derived kinetic swarmalator equation. | - |
| dc.language | 영어 | - |
| dc.language.iso | en | - |
| dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
| dc.title | A MEAN-FIELD LIMIT OF THE PARTICLE SWARMALATOR MODEL | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Park, Jinyeong | - |
| dc.identifier.doi | 10.3934/krm.2021011 | - |
| dc.identifier.scopusid | 2-s2.0-85106562747 | - |
| dc.identifier.wosid | 000644661200002 | - |
| dc.identifier.bibliographicCitation | KINETIC AND RELATED MODELS, v.14, no.3, pp.429 - 468 | - |
| dc.relation.isPartOf | KINETIC AND RELATED MODELS | - |
| dc.citation.title | KINETIC AND RELATED MODELS | - |
| dc.citation.volume | 14 | - |
| dc.citation.number | 3 | - |
| dc.citation.startPage | 429 | - |
| dc.citation.endPage | 468 | - |
| 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.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | PHASE-LOCKED STATES | - |
| dc.subject.keywordPlus | CUCKER-SMALE MODEL | - |
| dc.subject.keywordPlus | KURAMOTO MODEL | - |
| dc.subject.keywordPlus | SYNCHRONIZATION | - |
| dc.subject.keywordPlus | DYNAMICS | - |
| dc.subject.keywordPlus | BEHAVIOR | - |
| dc.subject.keywordPlus | VLASOV | - |
| dc.subject.keywordPlus | PROPAGATION | - |
| dc.subject.keywordPlus | COLLISIONS | - |
| dc.subject.keywordPlus | EXISTENCE | - |
| dc.subject.keywordAuthor | The swarmalator model | - |
| dc.subject.keywordAuthor | mean-field limit | - |
| dc.subject.keywordAuthor | kinetic equation | - |
| dc.subject.keywordAuthor | strong solution | - |
| dc.subject.keywordAuthor | weak solution | - |
| dc.subject.keywordAuthor | well-posedness | - |
| dc.identifier.url | https://www.aimsciences.org/article/doi/10.3934/krm.2021011 | - |
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Related Researcher
- Park, Jin yeong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)