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- Bae, Hantaek
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| DC Field | Value | Language |
|---|---|---|
| dc.citation.startPage | 113062 | - |
| dc.citation.title | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | - |
| dc.citation.volume | 224 | - |
| dc.contributor.author | Bae, Hantaek | - |
| dc.contributor.author | Lee, Woojae | - |
| dc.contributor.author | Shin, Jaeyong | - |
| dc.date.accessioned | 2023-12-21T13:36:37Z | - |
| dc.date.available | 2023-12-21T13:36:37Z | - |
| dc.date.created | 2022-08-10 | - |
| dc.date.issued | 2022-11 | - |
| dc.description.abstract | In this paper, we analyze a nonlinear model of the viscous water-waves equation proposed in Dias et al. (2008). To this end, we first study the linear model in Dias et al. (2008). We then derive a new model which approximates the nonlinear model in Dias et al. (2008). We finally show the existence of a unique global-in-time solution and its decay rates to this new system with small initial data in energy spaces. (C) 2022 Elsevier Ltd. All rights reserved. | - |
| dc.identifier.bibliographicCitation | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.224, pp.113062 | - |
| dc.identifier.doi | 10.1016/j.na.2022.113062 | - |
| dc.identifier.issn | 0362-546X | - |
| dc.identifier.scopusid | 2-s2.0-85134196168 | - |
| dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/59082 | - |
| dc.identifier.wosid | 000829346100001 | - |
| dc.language | 영어 | - |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
| dc.title | Global existence and decay rates of solutions to the viscous water-waves system | - |
| dc.type | Article | - |
| dc.description.isOpenAccess | FALSE | - |
| dc.relation.journalWebOfScienceCategory | Mathematics, Applied; Mathematics | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.type.docType | Article | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.subject.keywordAuthor | Dias-Dyachenko-Zakharov model | - |
| dc.subject.keywordAuthor | Viscous water-waves | - |
| dc.subject.keywordAuthor | Global well-posedness | - |
| dc.subject.keywordAuthor | Temporal decay rates | - |
| dc.subject.keywordPlus | FREE-SURFACE FLOWS | - |
| dc.subject.keywordPlus | WELL-POSEDNESS | - |
| dc.subject.keywordPlus | SOBOLEV SPACES | - |
| dc.subject.keywordPlus | POTENTIAL FLOW | - |
| dc.subject.keywordPlus | EULER | - |
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