Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations
DC Field | Value | Language |
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dc.contributor.author | Li, Yibao | - |
dc.contributor.author | Jeong, Darae | - |
dc.contributor.author | Kim, Hyundong | - |
dc.contributor.author | Lee, Chaeyoung | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-01T21:29:12Z | - |
dc.date.available | 2021-09-01T21:29:12Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2019-01-15 | - |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/68281 | - |
dc.description.abstract | We perform a comparison study on the different dynamics between the Allen-Cahn (AC) and the Cahn-Hilliard (CH) equations. The AC equation describes the evolution of a non-conserved order field during anti-phase domain coarsening. The CH equation describes the process of phase separation of a conserved order field. The AC and the CH equations are second-order and fourth-order nonlinear parabolic partial differential equations, respectively. Linear stability analysis shows that growing and decaying modes for both the equations are the same. While the growth rates are monotonically decreasing with respect to the modes for the AC equation, the growth rates for the CH equation are increasing and then decreasing with respect to the modes. We perform various numerical tests using the Fourier spectral method to highlight the different evolutionary dynamics between the AC and the CH equations. (C) 2018 Elsevier Ltd. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.subject | NUMERICAL-ANALYSIS | - |
dc.subject | MODEL | - |
dc.subject | COMPUTATION | - |
dc.title | Comparison study on the different dynamics between the Allen-Cahn and the Cahn-Hilliard equations | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1016/j.camwa.2018.09.034 | - |
dc.identifier.scopusid | 2-s2.0-85054874523 | - |
dc.identifier.wosid | 000458345600001 | - |
dc.identifier.bibliographicCitation | COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.77, no.2, pp.311 - 322 | - |
dc.relation.isPartOf | COMPUTERS & MATHEMATICS WITH APPLICATIONS | - |
dc.citation.title | COMPUTERS & MATHEMATICS WITH APPLICATIONS | - |
dc.citation.volume | 77 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 311 | - |
dc.citation.endPage | 322 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | NUMERICAL-ANALYSIS | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordPlus | COMPUTATION | - |
dc.subject.keywordAuthor | Allen-Cahn equation | - |
dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | Linear stability analysis | - |
dc.subject.keywordAuthor | Fourier spectral method | - |
dc.subject.keywordAuthor | Fastest growing mode | - |
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