Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUCROT, Arnaud | |
| hal.structure.identifier | Laboratoire Jacques-Louis Lions [LJLL] | |
| dc.contributor.author | NADIN, Grégoire | |
| dc.date.accessioned | 2024-04-04T02:17:45Z | |
| dc.date.available | 2024-04-04T02:17:45Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189257 | |
| dc.description.abstractEn | In this work we study the behaviour of travelling wave solutions for the diffusive Hutchinson equation with time delay. Using a phase plane analysis we prove the existence of travelling wave solution for each wave speed c >= 2. We show that for each given and admissible wave speed, such travelling wave solutions converge to a unique maximal wavetrain. As a consequence the existence of a nontrivial maximal wavetrain is equivalent to the existence of travelling wave solution non-converging to the stationary state u = 1. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jde.2014.01.033 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Differential Equations | |
| bordeaux.page | 3115-3140 | |
| bordeaux.volume | 256 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 9 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00992995 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00992995v1 | |
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