Travelling wave-like solutions of the Navier-Stokes and the related equations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chae, D | - |
dc.contributor.author | Dubovskii, P | - |
dc.date.accessioned | 2022-05-04T01:40:46Z | - |
dc.date.available | 2022-05-04T01:40:46Z | - |
dc.date.issued | 1996-12 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.issn | 1096-0813 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/57107 | - |
dc.description.abstract | We present a new family of travelling wave-like solutions to the Navier-Stokes equations of incompressible fluid flows, and other regularized equations of the Euler equations, obtain their trend to the solutions of the Euler equations as the viscosity tends to zero, and estimate the rate of convergence. We also find a ''singularizing effect'' of the viscosity term in the Navier-Stokes equations, i.e., we have a local moving blow-up of unbounded solutions with the blow-up's speed depending on viscosity. We demonstrate that if the initial function is the Beltrami flow then the solution of the Navier-Stokes equations conserves the Beltrami flow property for all time. (C) 1996 Academic Press, Inc. | - |
dc.format.extent | 10 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS | - |
dc.title | Travelling wave-like solutions of the Navier-Stokes and the related equations | - |
dc.type | Article | - |
dc.identifier.doi | 10.1006/jmaa.1996.0477 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.204, no.3, pp 930 - 939 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.wosid | A1996WB23700021 | - |
dc.identifier.scopusid | 2-s2.0-0030589760 | - |
dc.citation.endPage | 939 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 930 | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 204 | - |
dc.type.docType | Article | - |
dc.publisher.location | 미국 | - |
dc.subject.keywordPlus | VORTICITY | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
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.