Depinning transitions in discrete reaction-diffusion equations

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dc.contributor.authorCarpio Rodríguez, Ana María
dc.contributor.authorBonilla, L.L.
dc.date.accessioned2023-06-20T16:50:40Z
dc.date.available2023-06-20T16:50:40Z
dc.date.issued2003
dc.description.abstractWe consider spatially discrete bistable reaction-diffusion equations that admit wave front solutions. Depending on the parameters involved, such wave fronts appear to be pinned or to glide at a certain speed. We study the transition of traveling waves to steady solutions near threshold and give conditions for front pinning (propagation failure). The critical parameter values are characterized at the depinning transition, and an approximation for the front speed just beyond threshold is given.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMadrid Ciencia y Tecnología
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipUnión Europea
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15045
dc.identifier.citationCarpio Rodríguez, A. M., Bonilla, L. L. «Depinning Transitions in Discrete Reaction-Diffusion Equations». SIAM Journal on Applied Mathematics, vol. 63, n.o 3, enero de 2003, pp. 1056-82. DOI.org (Crossref), https://doi.org/10.1137/S003613990239006X.
dc.identifier.doi10.1137/S003613990239006X
dc.identifier.issn0036-1399
dc.identifier.officialurlhttp://doi.org10.1137/S003613990239006X
dc.identifier.relatedurlhttp://www.siam.org/journals/siap/63-3/39006.html
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57209
dc.issue.number3
dc.journal.titleSIAM Journal on applied mathematics
dc.language.isoeng
dc.page.final1082
dc.page.initial1056
dc.publisherSociety for Industrial and Applied Mathematics
dc.relation.projectIDBFM2002-04127-C02
dc.relation.projectIDRTN2-2001-00349
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordDiscrete reaction-diffusion equations
dc.subject.keywordTraveling wave fronts
dc.subject.keywordPropagation failure
dc.subject.keywordWave front depinning
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleDepinning transitions in discrete reaction-diffusion equationsen
dc.typejournal article
dc.volume.number63
dspace.entity.typePublication
relation.isAuthorOfPublicationf301b87d-970b-4da8-9373-fef22632392a
relation.isAuthorOfPublication.latestForDiscoveryf301b87d-970b-4da8-9373-fef22632392a

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