Homogenization of oscillating boundaries and applications to thin films

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dc.creatorAnsini, Nadia
dc.creatorBraides, Andrea
dc.date2000-10-02
dc.date.accessioned2026-07-07T04:37:46Z
dc.date.available2026-07-07T04:37:46Z
dc.descriptionWe prove a homogenization result for integral functionals in domains with oscillating boundaries, showing that the limit is defined on a degenerate Sobolev space. We apply this result to the description of the asymptotic behaviour of thin films with fast-oscillating profile, proving that they can be described by first applying the homogenization result above and subsequently a dimension-reduction technique.
dc.description31 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0010011
dc.identifierhttp://arxiv.org/abs/math/0010011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60027
dc.subjectFunctional Analysis
dc.titleHomogenization of oscillating boundaries and applications to thin films
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