| dc.contributor.author | Fernandez, Javier | |
| dc.contributor.author | Escobedo, Miguel | |
| dc.contributor.author | Dolbeault, Jean | |
| dc.contributor.author | Blanchet, Adrien | |
| dc.date.accessioned | 2010-01-27T10:59:41Z | |
| dc.date.available | 2010-01-27T10:59:41Z | |
| dc.date.issued | 2010 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/3164 | |
| dc.language.iso | en | en |
| dc.subject | Intermediate Asymptotics | en |
| dc.subject | Self-similar Solution | en |
| dc.subject | Drift-diffusion | en |
| dc.subject | Chemotaxis | en |
| dc.subject | Keller-Segel Model | en |
| dc.subject | Entropy | en |
| dc.subject | Free Energy | en |
| dc.subject | Rate of Convergence | en |
| dc.subject | Heat Kernel | en |
| dc.subject.ddc | 515 | en |
| dc.title | Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model | en |
| dc.type | Article accepté pour publication ou publié | |
| dc.contributor.editoruniversityother | Universidad Publica de Navarra;Espagne | |
| dc.contributor.editoruniversityother | Université des Sciences Sociales Toulouse 1;France | |
| dc.contributor.editoruniversityother | Universidad del Pais Vasco;Espagne | |
| dc.description.abstracten | The Keller-Segel system describes the collective motion of cells that are attracted by a chemical substance and are able to emit it. In its simplest form, it is a conservative drift-diffusion equation for the cell density coupled to an elliptic equation for the chemo-attractant concentration. This paper deals with the rate of convergence towards a unique stationary state in self-similar variables, which describes the intermediate asymptotics of the solutions in the original variables. Although it is known that solutions globally exist for any mass less $8\pi\,$, a smaller mass condition is needed in our approach for proving an exponential rate of convergence in self-similar~variables. | en |
| dc.relation.isversionofjnlname | Journal of Mathematical Analysis and Applications | |
| dc.relation.isversionofjnlvol | 361 | en |
| dc.relation.isversionofjnlissue | 2 | en |
| dc.relation.isversionofjnldate | 2010-01 | |
| dc.relation.isversionofjnlpages | 533-542 | en |
| dc.relation.isversionofdoi | http://dx.doi.org/10.1016/j.jmaa.2009.07.034 | en |
| dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00349216/fr/ | en |
| dc.description.sponsorshipprivate | oui | en |
| dc.relation.isversionofjnlpublisher | Elsevier | en |
| dc.subject.ddclabel | Analyse | en |
