| Author | dc.contributor.author | Pino Manresa, Manuel del | |
| Author | dc.contributor.author | Kowalczyk, Michal | es_CL |
| Author | dc.contributor.author | Wei, Juncheng | es_CL |
| Admission date | dc.date.accessioned | 2010-01-13T12:53:51Z | |
| Available date | dc.date.available | 2010-01-13T12:53:51Z | |
| Publication date | dc.date.issued | 2008-10 | |
| Cita de ítem | dc.identifier.citation | Archive for Rational Mechanics and Analysis, Volume 190, Number 1, pag 141-187, 2008 | en_US |
| Identifier | dc.identifier.issn | 0003-9527 (Print) 1432-0673 (Online) | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125100 | |
| Abstract | dc.description.abstract | We consider the Allen-Cahn equation "2 u+(1−u2)u = 0 in a bounded, smooth domain
in R2, under zero Neumann boundary conditions, where " > 0 is a small parameter. Let 0 be a
segment contained in
, connecting orthogonally the boundary. Under certain non-degeneracy
and non-minimality assumptions for 0, satisfied for instance by the short axis in an ellipse, we
construct, for any given N 1, a solution exhibiting N transition layers whose mutual distances
are O("| log "|) and which collapse onto 0 as " ! 0. Asymptotic location of these interfaces is
governed by a Toda type system and yields in the limit broken lines with an angle at a common
height and at main order cutting orthogonally the boundary. | en_US |
| Patrocinador | dc.description.sponsorship | The first author has been partly supported by research grants Fondecyt
1030840 and FONDAP, Chile. The second author has been supported by Fondecyt grant
1050311 and Nucleus Millennium grant P04-069-F. The research of the third author is partially
supported by an Earmarked Grant from RGC of Hong Kong. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | Springer Berlin | en_US |
| Keywords | dc.subject | NONLINEAR SCHRODINGER-EQUATIONS | |
| Título | dc.title | The Toda system and clustering interfaces in the Allen-Cahn equation | en_US |
| Document type | dc.type | Artículo de revista | |
