There are no files associated with this item.
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 917 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 877 | - |
dc.citation.title | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | - |
dc.citation.volume | 244 | - |
dc.contributor.author | Abe, Ken | - |
dc.contributor.author | Choi, Kyudong | - |
dc.date.accessioned | 2023-12-21T14:09:39Z | - |
dc.date.available | 2023-12-21T14:09:39Z | - |
dc.date.created | 2022-03-25 | - |
dc.date.issued | 2022-06 | - |
dc.description.abstract | The Lamb dipole is a traveling wave solution to the two-dimensional Euler equations introduced by Chaplygin (Trudy Otd Fiz Nauk Imper Mosk Obshch Lyub Estest 11:11-14, 1903) and Lamb (Hydrodynamics, 1906.) at the early 20th century. We prove the orbital stability of this solution based on a vorticity method initiated by Arnold. Our method is a minimization of a penalized energy with multiple constraints that deduces existence and orbital stability for a family of traveling waves. As a typical case, the orbital stability of the Lamb dipole is deduced by characterizing a set of minimizers as an orbit of the dipole by a uniqueness theorem in the variational setting. | - |
dc.identifier.bibliographicCitation | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.244, no.3, pp.877 - 917 | - |
dc.identifier.doi | 10.1007/s00205-022-01782-4 | - |
dc.identifier.issn | 0003-9527 | - |
dc.identifier.scopusid | 2-s2.0-85128187215 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/57657 | - |
dc.identifier.url | https://link.springer.com/article/10.1007/s00205-022-01782-4 | - |
dc.identifier.wosid | 000783025500001 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER | - |
dc.title | Stability of Lamb dipoles | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied;Mechanics | - |
dc.relation.journalResearchArea | Mathematics;Mechanics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | CONCENTRATION-COMPACTNESS PRINCIPLE | - |
dc.subject.keywordPlus | PLANAR VORTEX-PAIRS | - |
dc.subject.keywordPlus | BLOW-UP SOLUTIONS | - |
dc.subject.keywordPlus | STEADY VORTEX | - |
dc.subject.keywordPlus | RENORMALIZED SOLUTIONS | - |
dc.subject.keywordPlus | NONLINEAR STABILITY | - |
dc.subject.keywordPlus | UNIQUENESS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | EVOLUTION | - |
dc.subject.keywordPlus | CALCULUS | - |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Tel : 052-217-1404 / Email : scholarworks@unist.ac.kr
Copyright (c) 2023 by UNIST LIBRARY. All rights reserved.
ScholarWorks@UNIST was established as an OAK Project for the National Library of Korea.