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DC Field | Value | Language |
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dc.citation.endPage | 516 | - |
dc.citation.startPage | 503 | - |
dc.citation.title | MONATSHEFTE FUR MATHEMATIK | - |
dc.citation.volume | 198 | - |
dc.contributor.author | Bae, Hantaek | - |
dc.contributor.author | Granero-Belinchon, Rafael | - |
dc.date.accessioned | 2023-12-21T14:07:14Z | - |
dc.date.available | 2023-12-21T14:07:14Z | - |
dc.date.created | 2021-10-18 | - |
dc.date.issued | 2022-07 | - |
dc.description.abstract | In this work we prove that the solution of the Serre-Green-Naghdi equation cannot be globally defined when the interface reaches the impervious bottom tangentially. As a consequence, our result complements the paper Camassa, R., Falqui, G., Ortenzi, G., Pedroni, M., & Thomson, C. Hydrodynamic models and confinement effects by horizontal boundaries. Journal of Nonlinear Science, 29(4), 1445-1498, 2019. Furthermore, we also prove that the solution to the abcd-Boussinesq system can change sign in finite time. Finally, we provide with a proof of a scenario of finite time singularity for the abcd-Boussinesq system. These latter mathematical results are related to the numerics in Bona, and Chen, Singular solutions of a Boussinesq system for water waves. J. Math. Study, 49(3), 205-220, 2016. | - |
dc.identifier.bibliographicCitation | MONATSHEFTE FUR MATHEMATIK, v.198, pp.503 - 516 | - |
dc.identifier.doi | 10.1007/s00605-021-01623-8 | - |
dc.identifier.issn | 0026-9255 | - |
dc.identifier.scopusid | 2-s2.0-85115605146 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/54631 | - |
dc.identifier.url | https://link.springer.com/article/10.1007%2Fs00605-021-01623-8 | - |
dc.identifier.wosid | 000700896600001 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER WIEN | - |
dc.title | Singularity formation for the Serre-Green-Naghdi equations and applications to abcd-Boussinesq systems | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Green-Naghdi equations | - |
dc.subject.keywordAuthor | abcd-Boussinesq equations | - |
dc.subject.keywordAuthor | Finite time singularity | - |
dc.subject.keywordAuthor | Analiticity | - |
dc.subject.keywordPlus | NONLINEAR DISPERSIVE MEDIA | - |
dc.subject.keywordPlus | AMPLITUDE LONG WAVES | - |
dc.subject.keywordPlus | 2-WAY PROPAGATION | - |
dc.subject.keywordPlus | WATER | - |
dc.subject.keywordPlus | DERIVATION | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | MODELS | - |
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