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DC Field | Value | Language |
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dc.citation.endPage | 5831 | - |
dc.citation.number | 10 | - |
dc.citation.startPage | 5814 | - |
dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 252 | - |
dc.contributor.author | Howard, Peter | - |
dc.contributor.author | Kwon, Bongsuk | - |
dc.date.accessioned | 2023-12-22T05:10:43Z | - |
dc.date.available | 2023-12-22T05:10:43Z | - |
dc.date.created | 2013-06-10 | - |
dc.date.issued | 2012-05 | - |
dc.description.abstract | We consider the asymptotic behavior of perturbations of transition front solutions arising in Cahn-Hilliard systems on R. Such equations arise naturally in the study of phase separation processes, and systems describe cases in which three or more phases are possible. When a Cahn-Hilliard system is linearized about a transition front solution, the linearized operator has an eigenvalue at 0 (due to shift invariance), which is not separated from essential spectrum. In cases such as this, nonlinear stability cannot be concluded from classical semigroup considerations and a more refined development is appropriate. Our main result asserts that if initial perturbations are small in L-1 boolean AND L-infinity then spectral stability-a necessary condition for stability, defined in terms of an appropriate Evans function implies asymptotic nonlinear stability in LP for all 1
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dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.252, no.10, pp.5814 - 5831 | - |
dc.identifier.doi | 10.1016/j.jde.2012.01.033 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.scopusid | 2-s2.0-84858277258 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/2991 | - |
dc.identifier.url | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84858277258 | - |
dc.identifier.wosid | 000301901100025 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Asymptotic L-p stability for transition fronts in Cahn-Hilliard systems | - |
dc.type | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Cahn-Hilliard systems | - |
dc.subject.keywordAuthor | Spinodal decomposition | - |
dc.subject.keywordAuthor | Transition fronts | - |
dc.subject.keywordAuthor | Stability | - |
dc.subject.keywordAuthor | Evans function | - |
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