Conference proceedings article
On the determination of effective properties of certain structures with non-periodic temporal oscillations
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Author list: OLSSON LINDBERG M, HOLMBOM A, FLODEN L, FLODEN L, HOLMBOM A, OLSSON LINDBERG M, Persson J
Publisher: Vienna University Press (WUV)
Place: Wien
Publication year: 2009
Start page: 2627
End page: 2630
Number of pages: 4
ISBN: 978-3-901608-35-3
Abstract
We investigate the homogenization of an evolution problem modelled by a parabolic equation, where the coefficient describing the structure is periodic in space but may vary in time in a non-periodic way. This is performed applying a generalization of two-scale convergence called ?-scale convergence. We give a result on the characterization of the ?-scale limit of gradients under certain boundedness assumptions. This is then applied to perform the homogenization procedure. It turns out that, under a certain condition on the rate of change of the temporal variations, the effective property of the given structure can be determined the same way as in periodic cases.
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