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Homogenization of the wave equation in composites with imperfect interface: A memory effect

✍ Scribed by Patrizia Donato; Luisa Faella; Sara Monsurrò

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
334 KB
Volume
87
Category
Article
ISSN
0021-7824

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✦ Synopsis

In this paper we study the asymptotic behaviour of the wave equation with rapidly oscillating coefficients in a two-component composite with ε-periodic imperfect inclusions. We prescribe on the interface between the two components a jump of the solution proportional to the conormal derivatives through a function of order ε γ . For the different values of γ , we obtain different limit problems. In particular, for γ = 1 we have a linear memory effect in the homogenized problem.

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