We present here some corrector results for the homogenization of the wave equation in a two-component composite with epsilon-periodic connected inclusions. On the interface separating the two components we prescibe a jump of the solution proportional to the conormal derivatives via a function of order epsilon ^ gamma. The case gamma=1 is the most interesting infact a memory effect appears in the homogenized equation.

Correctors for the Homogenization of a Class of Hyperbolic Equations with Imperfect Interfaces

FAELLA, Luisa;
2009

Abstract

We present here some corrector results for the homogenization of the wave equation in a two-component composite with epsilon-periodic connected inclusions. On the interface separating the two components we prescibe a jump of the solution proportional to the conormal derivatives via a function of order epsilon ^ gamma. The case gamma=1 is the most interesting infact a memory effect appears in the homogenized equation.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11580/10499
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