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dc.creatorLópez García, José Luis
dc.creatorPérez Sinusía, Ester
dc.date.accessioned2016-02-19T08:12:42Z
dc.date.available2016-02-19T08:12:42Z
dc.date.issued2007-09
dc.identifier.citationLópez García, J.L. y Pérez Sinusía, E. (2007). Asymptotic behaviour of a singularly perturbed convection-diffusion problem in a rectangle with discontinuous Dirichlet data.
dc.identifier.urihttp://hdl.handle.net/11441/35802
dc.description.abstractWe consider a singularly perturbed convection-diffusion equation, −ε△u+ −→v · −→∇u = 0, defined on a rectangular domain Ω ≡ {(x, y)| 0 ≤ x ≤ πa, 0 ≤ y ≤ π}, a > 0, with Dirichlet-type boundary conditions discontinuous at the points (0, 0) and (πa, 0): u(x, 0) = 1, u(x, π) = u(0, y) = u(πa, y) = 0. An asymptotic expansion of the solution is obtained from a a series representation in two limits: a) when the singular parameter ε → 0 + (with fixed distance to the points (0, 0) and (πa, 0)) and b) when (x, y) → (0, 0) or (x, y) → (πa, 0) (with fixed ε). It is shown that the first term of the expansion at ε = 0 contains a linear combination of error functions. This term characterizes the effect of the discontinuities on the ε−behaviour of the solution u(x, y) in the boundary or the internal layers. On the other hand, near the points of discontinuity (0, 0) and (πa, 0), the solution u(x, y) is approximated by a linear function of the polar angle.es
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dc.language.isoenges
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dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectSingular perturbation problemes
dc.subjectdiscontinuous boundary dataes
dc.subjectasymptotic expansionses
dc.subjecterror functiones
dc.titleAsymptotic behaviour of a singularly perturbed convection-diffusion problem in a rectangle with discontinuous Dirichlet dataes
dc.typeinfo:eu-repo/semantics/conferenceObjectes
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/35802

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