2006
DOI: 10.3934/dcds.2006.16.721
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Homogenization for a nonlinear wave equation in domains with holes of small capacity

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Cited by 6 publications
(3 citation statements)
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“…No contexto brasileiro, o Radar da Inovação tem sido aplicado em diferentes setores e segmentos econômicos que vão da prestação de serviços, confecções, segmento de autopeças, indústria de móveis, panificação, indústria de plásticos, gastronomia e turismo. (Silva Neto; Teixeira, 2011), (Oliveira;Mendes;Pinheiro, 2015), (Cunha;Carvalho;Bartone, 2013), (Oliveira;Cavalcanti;Paiva Júnior;Marques, 2014).…”
Section: Inovaçãounclassified
“…No contexto brasileiro, o Radar da Inovação tem sido aplicado em diferentes setores e segmentos econômicos que vão da prestação de serviços, confecções, segmento de autopeças, indústria de móveis, panificação, indústria de plásticos, gastronomia e turismo. (Silva Neto; Teixeira, 2011), (Oliveira;Mendes;Pinheiro, 2015), (Cunha;Carvalho;Bartone, 2013), (Oliveira;Cavalcanti;Paiva Júnior;Marques, 2014).…”
Section: Inovaçãounclassified
“…Homogenization of certain nonlinear hyperbolic problems has been performed, e.g., in [4], [26] and [32] having one rapid spatial scale, in [30] with two rapid spatial scales, in [25] having one rapid scale in both space and time, in [22] where two rapid spatial and one rapid temporal scale appear, and in [33] which involves one rapid spatial and two rapid temporal scales. The key homogenization tool in [33], making rapid temporal scales possible to treat, is a compactness result of very weak evolution multiscale convergence type.…”
Section: 2mentioning
confidence: 99%
“…More information on results obtained in this kind of deterministic problems can be found in, for example, [44] (heat equations in perforated domains by probabilistic means) and [2,16,13,18,51]. Deterministic evolution problems in non-periodically perforated domains have been less studied; we refer to [12,15,59,52] for some results in this direction.…”
Section: Introductionmentioning
confidence: 99%