Propagating interface in a monostable reaction-diffusion equation with time delay
| hal.structure.identifier | Institut de Mathématiques et de Modélisation de Montpellier [I3M] | |
| dc.contributor.author | ALFARO, Matthieu | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUCROT, Arnaud | |
| dc.date.accessioned | 2024-04-04T02:24:30Z | |
| dc.date.available | 2024-04-04T02:24:30Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 0893-4983 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189820 | |
| dc.description.abstractEn | We consider a monostable time-delayed reaction-diffusion equation arising from population dynamics models. We let a small parameter tend to zero and investigate the behavior of the solutions. We construct accurate lower barriers --- by using a non standard bistable approximation of the monostable problem--- and upper barriers. As a consequence, we prove the convergence to a propagating interface. | |
| dc.language.iso | en | |
| dc.publisher | Khayyam Publishing | |
| dc.title.en | Propagating interface in a monostable reaction-diffusion equation with time delay | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1209.5668 | |
| bordeaux.journal | Differential and integral equations | |
| bordeaux.page | 81–104 | |
| bordeaux.volume | 27 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1-2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00735081 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00735081v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Differential%20and%20integral%20equations&rft.date=2014&rft.volume=27&rft.issue=1-2&rft.spage=81%E2%80%93104&rft.epage=81%E2%80%93104&rft.eissn=0893-4983&rft.issn=0893-4983&rft.au=ALFARO,%20Matthieu&DUCROT,%20Arnaud&rft.genre=article |
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