Mostra el registre d'ítem simple
Slow motion of particle systems as a limit of a reaction-diffusion equation with fractional Laplacian
| dc.contributor.author | González Nogueras, María del Mar |
| dc.contributor.author | Monneau, R. |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2010-07-27T09:41:55Z |
| dc.date.available | 2010-07-27T09:41:55Z |
| dc.date.issued | 2010-07 |
| dc.identifier.uri | http://hdl.handle.net/2117/8411 |
| dc.description.abstract | We consider a reaction-diffusion equation with a half-Laplacian. In the case where the solution is independent on time, the model reduces to the Peierls-Nabarro model describing dislocations as transition layers in a phase eld setting. We introduce a suitable rescaling of the evolution equation, using a small parameter |
| dc.format.extent | 36 p. |
| dc.language.iso | eng |
| dc.relation.ispartofseries | [prepr201003GonM] |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.other | non-local Allen-Cahn equation |
| dc.subject.other | reaction-diffusion equation |
| dc.subject.other | singular limit |
| dc.subject.other | Peierls- Nabarro model |
| dc.subject.other | transition layer |
| dc.subject.other | particle systems. |
| dc.title | Slow motion of particle systems as a limit of a reaction-diffusion equation with fractional Laplacian |
| dc.type | External research report |
| dc.subject.lemac | Equacions diferencials parcials |
| dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.subject.ams | Classificació AMS::35 Partial differential equations |
| dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems |
| dc.relation.publisherversion | http://www.ma1.upc.edu/recerca/preprints/2010/prepr201002gonzalez.pdf |
| dc.rights.access | Open Access |
| local.identifier.drac | 2588488 |
| dc.description.version | Preprint |
| local.personalitzacitacio | true |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Reports de recerca [103]
-
Reports de recerca [403]