| dc.creator | Hernández, Álvaro | |
| dc.creator | Kowalczyk, Michał | |
| dc.date.accessioned | 2019-05-29T13:10:16Z | |
| dc.date.available | 2019-05-29T13:10:16Z | |
| dc.date.created | 2019-05-29T13:10:16Z | |
| dc.date.issued | 2017 | |
| dc.identifier | Discrete and Continuous Dynamical Systems- Series A, Volumen 37, Issue 2, 2017, Pages 801-827 | |
| dc.identifier | 15535231 | |
| dc.identifier | 10780947 | |
| dc.identifier | 10.3934/dcds.2017033 | |
| dc.identifier | https://repositorio.uchile.cl/handle/2250/168785 | |
| 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. | |
| dc.language | en | |
| dc.publisher | Southwest Missouri State University | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| dc.source | Discrete and Continuous Dynamical Systems- Series A | |
| dc.subject | Cahn-Hilliard equation | |
| dc.subject | Delaunay surfaces | |
| dc.subject | Entire solutions | |
| dc.subject | Lyapunov-Schmidt reduction | |
| dc.subject | Phase transition theory | |
| dc.title | Rotationally symmetric solutions to the Cahn-Hilliard equation | |
| dc.type | Artículo de revista | |
