Transmission conditions obtained by homogenisation

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dc.contributor.areaMathematicsen_US
dc.contributor.authorDal Maso, Gianni
dc.contributor.authorFranzina, Giovanni
dc.contributor.authorZucco, Davide
dc.date.accessioned2018-03-19T09:23:08Z
dc.date.available2018-03-19T09:23:08Z
dc.date.issued2018-03
dc.description.abstractWe study the asymptotic behaviour of solutions to variational problems in perforated domains with Neumann boundary conditions. We consider perforations that in the limit concentrate on a smooth manifold. We characterise the limits of the solutions and show that they solve a variational problem with a transmission condition across the manifold. This is expressed through a measure on the manifold, vanishing on sets of capacity zero. Then, we prove that every such measure can be obtained by homogenising suitable perforations. Eventually, we provide an asymptotic formula for this measure by using some auxiliary minimum problems.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35310
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;11/2018/MATE
dc.relation.lastpage26en_US
dc.subjectGamma-convergenceen_US
dc.subjectcapacitary measuresen_US
dc.subjectNeumann sieveen_US
dc.subject.miurMAT/05en_US
dc.titleTransmission conditions obtained by homogenisationen_US
dc.typePreprinten_US
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