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- Choi, Kyudong
- Fluids Analysis Lab.
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| DC Field | Value | Language |
|---|---|---|
| dc.citation.startPage | 106857 | - |
| dc.citation.title | APPLIED MATHEMATICS LETTERS | - |
| dc.citation.volume | 113 | - |
| dc.contributor.author | Choi, Kyudong | - |
| dc.contributor.author | Jeong, In-Jee | - |
| dc.date.accessioned | 2023-12-21T16:11:34Z | - |
| dc.date.available | 2023-12-21T16:11:34Z | - |
| dc.date.created | 2021-02-17 | - |
| dc.date.issued | 2021-03 | - |
| dc.description.abstract | We consider the two-dimensional incompressible Euler equations. We construct vortex patches with smooth boundary on T-2 and R-2 whose perimeter grows with time. More precisely, for any constant M > 0, we construct a vortex patch in T-2 whose smooth boundary has length of order 1 at the initial time such that the perimeter grows up to the given constant M within finite time. The construction is done by cutting a thin slit out of an almost square patch. A similar result holds for an almost round patch with a thin handle in R-2. (c) 2020 Elsevier Ltd. All rights reserved. | - |
| dc.identifier.bibliographicCitation | APPLIED MATHEMATICS LETTERS, v.113, pp.106857 | - |
| dc.identifier.doi | 10.1016/j.aml.2020.106857 | - |
| dc.identifier.issn | 0893-9659 | - |
| dc.identifier.scopusid | 2-s2.0-85094317083 | - |
| dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/50027 | - |
| dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0893965920304341?via%3Dihub | - |
| dc.identifier.wosid | 000596329400020 | - |
| dc.language | 영어 | - |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
| dc.title | Growth of perimeter for vortex patches in a bulk | - |
| dc.type | Article | - |
| dc.description.isOpenAccess | FALSE | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.type.docType | Article | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.subject.keywordAuthor | 2D Euler | - |
| dc.subject.keywordAuthor | Vortex patch | - |
| dc.subject.keywordAuthor | Stability | - |
| dc.subject.keywordAuthor | Perimeter | - |
| dc.subject.keywordAuthor | Large time behavior | - |
| dc.subject.keywordAuthor | Particle trajectory | - |
| dc.subject.keywordPlus | VORTICITY GRADIENT | - |
| dc.subject.keywordPlus | EXPONENTIAL-GROWTH | - |
| dc.subject.keywordPlus | REGULARITY | - |
| dc.subject.keywordPlus | STABILITY | - |
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