Asymptotic Behavior of a Nonlocal Diffusive Logistic Equation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUCROT, Arnaud | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MAGAL, Pierre | |
| dc.date.accessioned | 2024-04-04T02:17:43Z | |
| dc.date.available | 2024-04-04T02:17:43Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0036-1410 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189255 | |
| dc.description.abstractEn | The long time behavior of a logistic-type equation modeling the motion of cells is investigated. The equation we consider takes into account birth and death processes using a simple logistic effect as well as a nonlocal motion of cells using a nonlocal Darcy's law with regular kernel. Using the periodic framework we first investigate the well-posedness of the problem before deriving some information about its long time behavior. The lack of asymptotic compactness of the system is overcome by making use of the Young measure theory. This allows us to conclude that the semiflow converges for the Young measure topology. | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.title.en | Asymptotic Behavior of a Nonlocal Diffusive Logistic Equation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1137/130922100 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | SIAM Journal on Mathematical Analysis | |
| bordeaux.page | 1731-1753 | |
| bordeaux.volume | 46 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00993008 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00993008v1 | |
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