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Interaction of localized large diffusion and boundary conditions

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dc.contributor.authorRodríguez Bernal, Aníbal
dc.contributor.authorVidal López, Alejandro
dc.date.accessioned2023-11-17T12:40:27Z
dc.date.available2023-11-17T12:40:27Z
dc.date.issued2019-03-20
dc.description.abstractIn this paper we derive the limiting PDES for parabolic problems where localized large diffusion touches the boundary of the domain. Hence the limit problem reflects the interaction of large diffusion and boundary conditions. The limit problem is a PDE coupled with a system of ODEs through some nonlocal terms. We study the well posedness and dissipativity of the (nonstandard) limit problem as well as the continuity of the dynamics as diffusion becomes large.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipMinisterio de Educación, Formación Profesional y Deportes (España)
dc.description.statuspub
dc.identifier.citationRodríguez-Bernal, A., & Vidal-López, A. (2019). Interaction of localized large diffusion and boundary conditions. Journal Of Differential Equations, 267(5), 2687-2736. https://doi.org/10.1016/j.jde.2019.03.031
dc.identifier.doi10.1016/j.jde.2019.03.031
dc.identifier.officialurlhttps//doi.org/10.1016/j.jde.2019.03.031
dc.identifier.relatedurlhttp://www.elsevier.com/locate/jde
dc.identifier.urihttps://hdl.handle.net/20.500.14352/88795
dc.issue.number5
dc.journal.titleJournal of Differential Equations
dc.language.isoeng
dc.page.final2736
dc.page.initial2687
dc.publisherElsevier Inc.
dc.relation.projectIDMTM2016-75465
dc.relation.projectIDinfo:eu-repo/grantAgreement/UCM//GR58%08 Grupo 920894
dc.relation.projectIDinfo:eu-repo/grantAgreement/MEFP//PRX17/00522
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.cdu517.968
dc.subject.keywordNonstandard limit problem
dc.subject.keywordPDE-ODE limit system
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleInteraction of localized large diffusion and boundary conditionsen
dc.typejournal article
dc.type.hasVersionCVoR
dc.volume.number267
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoveryfb7ac82c-5148-4dd1-b893-d8f8612a1b08

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