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Bae, Hantaek
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dc.citation.startPage 113062 -
dc.citation.volume 224 - Bae, Hantaek - Lee, Woojae - Shin, Jaeyong - 2023-12-21T13:36:37Z - 2023-12-21T13:36:37Z - 2022-08-10 - 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/ -
dc.identifier.issn 0362-546X -
dc.identifier.scopusid 2-s2.0-85134196168 -
dc.identifier.uri -
dc.identifier.wosid 000829346100001 -
dc.language 영어 -
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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