dc.citation.conferencePlace |
KO |
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dc.citation.title |
POSTECH Summer Workshop on Application and Analysis on PDEs |
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dc.contributor.author |
Kwon, Bongsuk |
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dc.date.accessioned |
2023-12-20T02:06:46Z |
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dc.date.available |
2023-12-20T02:06:46Z |
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dc.date.created |
2015-07-01 |
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dc.date.issued |
2012-06-21 |
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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, 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 spectral stability - a necessary condition for stability, defined in terms of an appropriate Evans function - implies nonlinear stability. |
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dc.identifier.bibliographicCitation |
POSTECH Summer Workshop on Application and Analysis on PDEs |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/46979 |
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dc.language |
영어 |
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dc.publisher |
POSTECH |
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dc.title |
Asymptotic stability of transition fronts in Cahn-Hilliard systems |
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dc.type |
Conference Paper |
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dc.date.conferenceDate |
2012-06-21 |
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