Two - Scale Convergence on Periodic
نویسنده
چکیده
This paper is concerned with the homogenization of model problems in periodic porous media when important phenomena occur on the boundaries of the pores. To this end, we generalize the notion of two-scale convergence for sequences of functions which are deened on periodic surfaces. We apply our results to two model problems : the rst one is a diiusion equation in a porous medium with a Fourier boundary condition, the second one is a coupled system of diiusion equations inside and on the boundaries of the pores of a porous medium.
منابع مشابه
A non-periodic and two-dimensional example of elliptic homogenization
Background. When studying the microscale behavior (beyond the reach of numerical solution methods) of physical systems, one is naturally lead to the concept of homogenization, i.e., the theory of the convergence of sequences of partial differential equations. The homogenization of periodic structures using the two-scale convergence technique is well-established due to the pioneering work by Gab...
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