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Resumen de Homogenization of the wave equation in composites with imperfect interface: a memory effect

Patrizia Donato, Luisa Faella, Sara Monsurrò

  • In this paper we study the asymptotic behaviour of the wave equation with rapidly oscillating coefficients in a two-component composite with e-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 . For the different values of ?, we obtain different limit problems. In particular, for we have a linear memory effect in the homogenized problem.


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