Singular limits of a two-dimensional boundary value problem arising in corrosion modelling

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dc.contributor.authorDavila, Juan
dc.contributor.authorDel Pino, Manuel
dc.contributor.authorMusso, Monica
dc.contributor.authorWei, Juncheng
dc.date.accessioned2025-01-21T01:05:55Z
dc.date.available2025-01-21T01:05:55Z
dc.date.issued2006
dc.description.abstractWe consider the boundary value problem
dc.description.abstractDu = 0 in Omega, partial derivative u/partial derivative v = 2 lambda sinh u on partial derivative Omega
dc.description.abstractwhere Omega is a smooth and bounded domain in R(2) and lambda > 0. We prove that for any integer k >= 1 there exist at least two solutions u (lambda) with the property that the boundary flux satisfies up to subsequences lambda -> 0,
dc.description.abstract2 lambda sinh(mu(lambda)) -> 2 pi Sigma(2k)(j=1)(-1)(j-1 delta)xi(,)(j)
dc.description.abstractwhere the xi (j) are points of partial derivative Omega ordered clockwise in j.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00205-006-0421-x
dc.identifier.issn0003-9527
dc.identifier.urihttps://doi.org/10.1007/s00205-006-0421-x
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/96045
dc.identifier.wosidWOS:000239887500001
dc.issue.numero2
dc.language.isoen
dc.pagina.final221
dc.pagina.inicio181
dc.revistaArchive for rational mechanics and analysis
dc.rightsacceso restringido
dc.titleSingular limits of a two-dimensional boundary value problem arising in corrosion modelling
dc.typeartículo
dc.volumen182
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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