Periodic solutions to a cahn hilliard willmore equation in the plane
| Author | dc.contributor.author | Malchiodi, Andrea | |
| Author | dc.contributor.author | Mandel, Rainer | |
| Author | dc.contributor.author | Rizzi, Matteo | |
| Admission date | dc.date.accessioned | 2018-07-19T22:55:18Z | |
| Available date | dc.date.available | 2018-07-19T22:55:18Z | |
| Publication date | dc.date.issued | 2018 | |
| Cita de ítem | dc.identifier.citation | Arch. Rational Mech. Anal. 228 (2018) 821–866 | es_ES |
| Identifier | dc.identifier.other | 10.1007/s00205-017-1206-0 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/150057 | |
| Abstract | dc.description.abstract | In this paper we construct entire solutions to the phase field equation of Willmore type in the Euclidean plane, where W(u) is the standard double-well potential . Such solutions have a non-trivial profile that shadows a Willmore planar curve, and converge uniformly to as . These solutions give a counterexample to the counterpart of Gibbons' conjecture for the fourth-order counterpart of the Allen-Cahn equation. We also study the x (2)-derivative of these solutions using the special structure of Willmore's equation. | es_ES |
| Patrocinador | dc.description.sponsorship | Project Geometric Variational Problems from Scuola Normale Superiore MIUR Bando PRIN 2015KB9WPT001 Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) MA 6290/2-1 Fondo Basal CMM-Chile Fondecyt 3170111 | es_ES |
| Lenguage | dc.language.iso | en | es_ES |
| Publisher | dc.publisher | Springer | es_ES |
| 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 | Archive for Rational Mechanics and Analysis | es_ES |
| Título | dc.title | Periodic solutions to a cahn hilliard willmore equation in the plane | es_ES |
| Document type | dc.type | Artículo de revista | |
| Cataloguer | uchile.catalogador | tjn | es_ES |
| Indexation | uchile.index | Artículo de publicación ISI | es_ES |
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile