There are no files associated with this item.
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.citation.startPage | 103415 | - |
dc.citation.title | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | - |
dc.citation.volume | 63 | - |
dc.contributor.author | Bae, Hantaek | - |
dc.contributor.author | Lee, Woojae | - |
dc.contributor.author | Shin, Jaeyong | - |
dc.date.accessioned | 2023-12-21T14:40:08Z | - |
dc.date.available | 2023-12-21T14:40:08Z | - |
dc.date.created | 2021-10-22 | - |
dc.date.issued | 2022-02 | - |
dc.description.abstract | In this paper, we deal with the Kakutani-Matsuuchi model which describes the surface elevation eta of the water-waves under the effect of viscosity. We first derive the decay rate of weak solutions. This can be used to obtain the decay rate of parallel to eta(t)parallel to (<(H)over dot>1) when initial data is sufficiently small in <(H)over dot>(1). We next show the existence, uniqueness, Gevrey regularity and decay rates of eta with sufficiently small initial data in B-2,1(1). To do so, we derive a commutator estimate involving Gevrey operator. We then apply our method to the supercritical quasi-geostrophic equations. We finally show the formation of singularities of smooth solutions in finite time for a certain class of initial data . (C) 2021 Elsevier Ltd. All rights reserved. | - |
dc.identifier.bibliographicCitation | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.63, pp.103415 | - |
dc.identifier.doi | 10.1016/j.nonrwa.2021.103415 | - |
dc.identifier.issn | 1468-1218 | - |
dc.identifier.scopusid | 2-s2.0-85114400980 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/54604 | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S1468121821001279?via%3Dihub | - |
dc.identifier.wosid | 000701818600008 | - |
dc.language | 영어 | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.title | Gevrey regularity and finite time singularities for the Kakutani-Matsuuchi model | - |
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 | Kakutani-Matsuuchi model | - |
dc.subject.keywordAuthor | Gevrey regularity | - |
dc.subject.keywordAuthor | Decay rates | - |
dc.subject.keywordAuthor | Singularity formation | - |
dc.subject.keywordPlus | FREE-SURFACE FLOWS | - |
dc.subject.keywordPlus | WELL-POSEDNESS | - |
dc.subject.keywordPlus | ANALYTICITY | - |
dc.subject.keywordPlus | EQUATION | - |
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.