A hybrid variational principle for the Keller-Segel system in R-2
| Author | dc.contributor.author | Blanchet, Adrien | |
| Author | dc.contributor.author | Carrillo, José Antonio | |
| Author | dc.contributor.author | Kinderlehrer, David | |
| Author | dc.contributor.author | Kowalczyk, Michal | |
| Author | dc.contributor.author | Laurençot, Philippe | |
| Author | dc.contributor.author | Lisini, Stefano | |
| Admission date | dc.date.accessioned | 2015-12-28T17:44:08Z | |
| Available date | dc.date.available | 2015-12-28T17:44:08Z | |
| Publication date | dc.date.issued | 2015 | |
| Cita de ítem | dc.identifier.citation | ESAIM: M2AN 49 (2015) 1553–1576 | en_US |
| Identifier | dc.identifier.other | DOI: 10.1051/m2an/2015021 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/135987 | |
| General note | dc.description | Artículo de publicación ISI | en_US |
| Abstract | dc.description.abstract | We construct weak global in time solutions to the classical Keller-Segel system describing cell movement by chemotaxis in two dimensions when the total mass is below the established critical value. Our construction takes advantage of the fact that the Keller-Segel system can be realized as a gradient flow in a suitable functional product space. This allows us to employ a hybrid variational principle which is a generalisation of the minimizing implicit scheme for Wasserstein distances introduced by [R. Jordan, D. Kinderlehrer and F. Otto, SIAM J. Math. Anal. 29 (1998) 1-17]. | en_US |
| Patrocinador | dc.description.sponsorship | Fondecyt 1130126 | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | EDP Sciences | en_US |
| Type of license | dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| Keywords | dc.subject | Chemotaxis | en_US |
| Keywords | dc.subject | Keller-Segel model | en_US |
| Keywords | dc.subject | Minimizing scheme | en_US |
| Keywords | dc.subject | Kantorovich-Rubinstein-Wasserstein distance | en_US |
| Título | dc.title | A hybrid variational principle for the Keller-Segel system in R-2 | en_US |
| Document type | dc.type | Artículo de revista |
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Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 Chile