On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Chaeyoung | - |
dc.contributor.author | Kim, Hyundong | - |
dc.contributor.author | Yoon, Sungha | - |
dc.contributor.author | Park, Jintae | - |
dc.contributor.author | Kim, Sangkwon | - |
dc.contributor.author | Yang, Junxiang | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-08-30T03:55:02Z | - |
dc.date.available | 2021-08-30T03:55:02Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2021-02 | - |
dc.identifier.issn | 1004-8979 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/50012 | - |
dc.description.abstract | We investigate the effect of cut-off logistic source on evolutionary dynamics of a generalized Cahn-Hilliard (CH) equation in this paper. It is a well-known fact that the maximum principle does not hold for the CH equation. Therefore, a generalized CH equation with logistic source may cause the negative concentration blow-up problem in finite time. To overcome this drawback, we propose the cut-off logistic source such that only the positive value greater than a given critical concentration can grow. We consider the temporal profiles of numerical results in the one-, two-, and three-dimensional spaces to examine the effect of extra mass source. Numerical solutions are obtained using a finite difference multigrid solver. Moreover, we perform numerical tests for tumor growth simulation, which is a typical application of generalized CH equations in biology. We apply the proposed cut-off logistic source term and have good results. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | GLOBAL SCIENCE PRESS | - |
dc.subject | NONLINEAR TUMOR-GROWTH | - |
dc.subject | PHASE-FIELD MODEL | - |
dc.subject | NUMERICAL SCHEME | - |
dc.subject | 2ND-ORDER | - |
dc.subject | SIMULATION | - |
dc.subject | DIFFUSION | - |
dc.subject | INVASION | - |
dc.title | On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.4208/nmtma.OA-2020-0051 | - |
dc.identifier.scopusid | 2-s2.0-85094646937 | - |
dc.identifier.wosid | 000595073600010 | - |
dc.identifier.bibliographicCitation | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, v.14, no.1, pp.242 - 260 | - |
dc.relation.isPartOf | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | - |
dc.citation.title | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | - |
dc.citation.volume | 14 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 242 | - |
dc.citation.endPage | 260 | - |
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.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | NONLINEAR TUMOR-GROWTH | - |
dc.subject.keywordPlus | PHASE-FIELD MODEL | - |
dc.subject.keywordPlus | NUMERICAL SCHEME | - |
dc.subject.keywordPlus | 2ND-ORDER | - |
dc.subject.keywordPlus | SIMULATION | - |
dc.subject.keywordPlus | DIFFUSION | - |
dc.subject.keywordPlus | INVASION | - |
dc.subject.keywordAuthor | Cahn-Hilliard equation | - |
dc.subject.keywordAuthor | logistic source | - |
dc.subject.keywordAuthor | finite difference method | - |
dc.subject.keywordAuthor | tumor growth application | - |
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