Fourier approach to homogenization problems

shall need another argument (based on the existence theory for the wave equation with non-smooth initial data) to obtain the boundary condition. Remark

It is nevertheless time and source independent and can be embarrassingly parallelized (a program is “embar- rassingly” parallel when different parallel tasks solving a global problem

Interestingly, the weak limit of the pressure does appear in the homogenized problem, but the macroscopic homogenized saturation Θ is an anisotropic average of θ0, weighted by

Ziani : “Homog´ en´ eisation d’´ equations hy- perboliques du premier ordre et application aux ´ ecoulements miscibles en milieu poreux” (French) [Homogenization of a system

Under higher integrability conditions the Tartar approach based on the oscillations test functions method applies and leads to a limit equation with an extra zero- order term.. When

spectrum of the operator curl y ε −1 (x, y)curl y. The proof of this fact consists of two parts: 1) We introduce the notion of two-scale operator convergence, which, having been

Index Terms—Harmonic Maxwell Equations; Electromag- netism; Homogenization; Asymptotic Analysis; Asymptotic Ex- pansion; Two-scale Convergence; Frequencies; Composite Ma- terial..

We prove that the rst eigenvector of the multigroup system in the periodicity cell controls the oscillatory behavior of the solu- tions, whereas the global trend is asymptotically