NONCONVERGENCE OF THE ROTATING STRATIFIED FLOWS TOWARD THE QUASI-GEOSTROPHIC DYNAMICS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jo, Min jun | - |
dc.contributor.author | Kim, Junha | - |
dc.contributor.author | Lee, Jihoon | - |
dc.date.accessioned | 2024-06-17T05:30:37Z | - |
dc.date.available | 2024-06-17T05:30:37Z | - |
dc.date.issued | 2024 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.issn | 1095-7154 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/74268 | - |
dc.description.abstract | The quasi-geostrohpic (QG) equation has been used to capture the asymptotic dynamics of the rotating stratified Boussinesq flows in the regime of strong stratification and rapid rotation. In this paper, we establish the invalidity of such approximation when the rotationstratification ratio is either fixed to be unity or tends to unity sufficiently slowly in the asymptotic regime: the difference between the rotating stratified Boussinesq flow and the corresponding QG flow remains strictly away from zero, independently of the intensities of rotation and stratification. In contrast, we also show that the convergence occurs when the rotation-stratification ratio is fixed to be a number other than unity or converges to unity sufficiently fast. As a corollary, we compute a lower bound of the convergence rate, which blows up as the rotation-stratification ratio goes to unity. | - |
dc.format.extent | 29 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.title | NONCONVERGENCE OF THE ROTATING STRATIFIED FLOWS TOWARD THE QUASI-GEOSTROPHIC DYNAMICS | - |
dc.type | Article | - |
dc.identifier.doi | 10.1137/23M1559130 | - |
dc.identifier.bibliographicCitation | SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v.56, no.3, pp 3357 - 3385 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | 001229241200008 | - |
dc.identifier.scopusid | 2-s2.0-85188542346 | - |
dc.citation.endPage | 3385 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 3357 | - |
dc.citation.title | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | - |
dc.citation.volume | 56 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordAuthor | nonconvergence | - |
dc.subject.keywordAuthor | quasi-geostrophic | - |
dc.subject.keywordAuthor | rotating stratified fluids | - |
dc.subject.keywordAuthor | Boussinesq | - |
dc.subject.keywordPlus | NAVIER-STOKES EQUATIONS | - |
dc.subject.keywordPlus | SINGULAR LIMITS | - |
dc.subject.keywordPlus | WELL-POSEDNESS | - |
dc.subject.keywordPlus | EULER | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | SOLIDS | - |
dc.subject.keywordPlus | MOTION | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
84, Heukseok-ro, Dongjak-gu, Seoul, Republic of Korea (06974)02-820-6194
COPYRIGHT 2019 Chung-Ang University All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.