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dc.contributor.authorGaudiello, Antonio
dc.contributor.authorMel'nyk, Taras A.
dc.date.accessioned2018-04-16T12:28:14Z
dc.date.available2018-04-16T12:28:14Z
dc.date.issued2018-04-16
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1359
dc.description.abstractWe consider a domain $\Omega_\varepsilon\subset\mathbb{R}^N$, $N\geq2$, with a very rough boundary depending on~$\varepsilon$. For instance, if $N=3$ the domain $\Omega_\varepsilon$ has the form of a brush with an $\varepsilon$-periodic distribution of thin cylinders with fixed height and a small diameter of order $\varepsilon$. In $\Omega_\varepsilon$ a nonlinear monotone problem with nonlinear Signorini boundary conditions, depending on $\varepsilon$, on the lateral boundary of the cylinders is considered. We study the asymptotic behavior of this problem, as $\varepsilon$ vanishes, i.e. when the number of thin attached cylinders increases unboundedly, while their cross sections tend to zero. We identify the limit problem which is a nonstandard homogenized problem. Namely, in the region filled up by the thin cylinders the limit problem is given by a variational inequality coupled to an algebraic system.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2018,06
dc.subjectHomogenization of rough boundariesen_US
dc.subjectNonlinear monotone problemsen_US
dc.subjectNonlinear Signorini boundary conditionsen_US
dc.titleHomogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundaryen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2018-06
local.scientificprogramResearch in Pairs 2017en_US
local.series.idOWP-2018-06en_US
local.subject.msc35en_US
dc.identifier.urnurn:nbn:de:101:1-201804279241
dc.identifier.ppn1655259148


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