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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Guo, Y | - |
| dc.contributor.author | Hwang, HJ | - |
| dc.date.accessioned | 2016-04-01T02:46:26Z | - |
| dc.date.available | 2016-04-01T02:46:26Z | - |
| dc.date.created | 2010-09-26 | - |
| dc.date.issued | 2010-10-01 | - |
| dc.identifier.issn | 0022-0396 | - |
| dc.identifier.other | 2010-OAK-0000021681 | - |
| dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/25739 | - |
| dc.description.abstract | We investigate nonlinear dynamics near an unstable constant equilibrium in the classical Keller-Segel model. Given any general perturbation of magnitude delta, we prove that its nonlinear evolution is dominated by the corresponding linear dynamics along a fixed finite number of fastest growing modes, over a time period of In 1/delta. Our result can be interpreted as a rigorous mathematical characterization for early pattern formation in the Keller-Segel model. (C) 2010 Elsevier Inc. All rights reserved. | - |
| dc.description.statementofresponsibility | X | - |
| dc.language | English | - |
| dc.publisher | Americal Mathematical Society | - |
| dc.relation.isPartOf | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
| dc.subject | Keller-Segel | - |
| dc.subject | Chemotaxis | - |
| dc.subject | Pattern formation | - |
| dc.subject | Instability | - |
| dc.subject | Nonlinear dynamics | - |
| dc.subject | CHEMOTAXIS | - |
| dc.subject | INSTABILITY | - |
| dc.subject | AGGREGATION | - |
| dc.subject | DIFFUSION | - |
| dc.subject | COLLAPSE | - |
| dc.title | Pattern formation (I): The Keller-Segel Model | - |
| dc.type | Article | - |
| dc.contributor.college | 수학과 | - |
| dc.identifier.doi | 10.1016/J.JDE.2010.07.025 | - |
| dc.author.google | Guo, Y | - |
| dc.author.google | Hwang, HJ | - |
| dc.relation.volume | 249 | - |
| dc.relation.issue | 7 | - |
| dc.relation.startpage | 1519 | - |
| dc.relation.lastpage | 1530 | - |
| dc.contributor.id | 10126968 | - |
| dc.relation.journal | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
| dc.relation.index | SCI급, SCOPUS 등재논문 | - |
| dc.relation.sci | SCI | - |
| dc.collections.name | Journal Papers | - |
| dc.type.rims | ART | - |
| dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.249, no.7, pp.1519 - 1530 | - |
| dc.identifier.wosid | 000281576000001 | - |
| dc.date.tcdate | 2019-02-01 | - |
| dc.citation.endPage | 1530 | - |
| dc.citation.number | 7 | - |
| dc.citation.startPage | 1519 | - |
| dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
| dc.citation.volume | 249 | - |
| dc.contributor.affiliatedAuthor | Hwang, HJ | - |
| dc.identifier.scopusid | 2-s2.0-77955565709 | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalClass | 1 | - |
| dc.description.wostc | 13 | - |
| dc.description.scptc | 13 | * |
| dc.date.scptcdate | 2018-05-121 | * |
| dc.type.docType | Article | - |
| dc.subject.keywordPlus | CHEMOTAXIS | - |
| dc.subject.keywordPlus | INSTABILITY | - |
| dc.subject.keywordPlus | AGGREGATION | - |
| dc.subject.keywordPlus | DIFFUSION | - |
| dc.subject.keywordPlus | COLLAPSE | - |
| dc.subject.keywordAuthor | Keller-Segel | - |
| dc.subject.keywordAuthor | Chemotaxis | - |
| dc.subject.keywordAuthor | Pattern formation | - |
| dc.subject.keywordAuthor | Instability | - |
| dc.subject.keywordAuthor | Nonlinear dynamics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
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- 황형주HWANG, HYUNG JU
- Dept of Mathematics