Faella, L.; Monsurrò, S. Memory effects arising in the homogenization of composites with inclusions. (English) Zbl 1114.74048 Miara, Bernadette (ed.) et al., Topics on mathematics for smart systems. Proceedings of the European conference, Rome, Italy, October 26–28, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-392-7/hbk). 107-121 (2007). Summary: We describe the asymptotic behavior, as \(\varepsilon\to 0\), of the solution of a first-order evolution problem set in a domain of \(\mathbb{R}^n\) with periodic inclusions of size \(\varepsilon\) and prescribing a jump on the interface proportional to conormal derivatives by means of a function of order \(\varepsilon^\gamma\). The limit behaviors obtained are different according to the values of parameter \(\gamma\). In particular, for \(\gamma= 1\) a linear memory term appears in the homogenized problem.For the entire collection see [Zbl 1110.74008]. Cited in 11 Documents MSC: 74Q10 Homogenization and oscillations in dynamical problems of solid mechanics 74E30 Composite and mixture properties 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure PDFBibTeX XMLCite \textit{L. Faella} and \textit{S. Monsurrò}, in: Topics on mathematics for smart systems. Proceedings of the European conference, Rome, Italy, October 26--28, 2006. Hackensack, NJ: World Scientific. 107--121 (2007; Zbl 1114.74048)