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Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUCROT, Arnaud
hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL]
dc.contributor.authorNADIN, Grégoire
dc.date.accessioned2024-04-04T02:17:45Z
dc.date.available2024-04-04T02:17:45Z
dc.date.issued2014
dc.identifier.issn0022-0396
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189257
dc.description.abstractEnIn 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.isoen
dc.publisherElsevier
dc.title.enAsymptotic behaviour of travelling waves for the delayed Fisher-KPP equation
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jde.2014.01.033
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Differential Equations
bordeaux.page3115-3140
bordeaux.volume256
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue9
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00992995
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00992995v1
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