6533b7d1fe1ef96bd125d76e

RESEARCH PRODUCT

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

Luisa FaellaPatrizia DonatoPatrizia DonatoSara Monsurrò

subject

Mathematics(all)HomogenizationHomogenization; Hyperbolic equationsApplied MathematicsGeneral MathematicsHyperbolic equations010102 general mathematicsMathematical analysisComposite numberGeometryWave equation01 natural sciencesHomogenization (chemistry)periodic homogenization; wave equation; interface problem010101 applied mathematicsJump[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]wave equationinterface problemImperfect0101 mathematics[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]periodic homogenizationComputingMilieux_MISCELLANEOUSMathematics

description

Abstract 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 e 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.

yearjournalcountryeditionlanguage
2007-02-01
https://hal.archives-ouvertes.fr/hal-00439098