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Homogenization of evolution problems for a composite medium with very small and heavy inclusions

Michel Bellieud — 2005

ESAIM: Control, Optimisation and Calculus of Variations

We study the homogenization of parabolic or hyperbolic equations like ρ ε n u ε t n - div ( a ε u ε ) = f in Ω × ( 0 , T ) + boundary conditions , n { 1 , 2 } , when the coefficients ρ ε , a ε (defined in Ø ) take possibly high values on a ε -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.

Homogenization of evolution problems for a composite medium with very small and heavy inclusions

Michel Bellieud — 2010

ESAIM: Control, Optimisation and Calculus of Variations

We study the homogenization of parabolic or hyperbolic equations like ρ ε n u ε t n - div ( a ε u ε ) = f in Ø × ( 0 , T ) + boundary conditions , n { 1 , 2 } , when the coefficients ρ ε , a ε (defined in ) take possibly high values on a -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.

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