Rotationally symmetric solutions to the Cahn-Hilliard equation
| Author | dc.contributor.author | Hernández, Álvaro | |
| Author | dc.contributor.author | Kowalczyk, Michał | |
| Admission date | dc.date.accessioned | 2019-05-29T13:10:16Z | |
| Available date | dc.date.available | 2019-05-29T13:10:16Z | |
| Publication date | dc.date.issued | 2017 | |
| Cita de ítem | dc.identifier.citation | Discrete and Continuous Dynamical Systems- Series A, Volumen 37, Issue 2, 2017, Pages 801-827 | |
| Identifier | dc.identifier.issn | 15535231 | |
| Identifier | dc.identifier.issn | 10780947 | |
| Identifier | dc.identifier.other | 10.3934/dcds.2017033 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/168785 | |
| Abstract | dc.description.abstract | This paper is devoted to construction of new solutions to the Cahn-Hilliard equation in ℝd. Staring from the Delaunay unduloid Dô with parameter τ ∈ (0, τ∗) we find for each sufficiently small ε a solution u of this equation which is periodic in the direction of the xd axis and rotationally symmetric with respect to rotations about this axis. The zero level set of u approaches as ε → 0 the surface Dτ. We use a refined version of the Lyapunov-Schmidt reduction method which simplifies very technical aspects of previous constructions for similar problems. | |
| Lenguage | dc.language.iso | en | |
| Publisher | dc.publisher | Southwest Missouri State University | |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| Source | dc.source | Discrete and Continuous Dynamical Systems- Series A | |
| Keywords | dc.subject | Cahn-Hilliard equation | |
| Keywords | dc.subject | Delaunay surfaces | |
| Keywords | dc.subject | Entire solutions | |
| Keywords | dc.subject | Lyapunov-Schmidt reduction | |
| Keywords | dc.subject | Phase transition theory | |
| Título | dc.title | Rotationally symmetric solutions to the Cahn-Hilliard equation | |
| Document type | dc.type | Artículo de revista | |
| Cataloguer | uchile.catalogador | laj | |
| Indexation | uchile.index | Artículo de publicación SCOPUS | |
| uchile.cosecha | uchile.cosecha | SI |
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile