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Keywords:
two-scale convergence; very weak two-scale convergence; periodic unfolding method; general two-scale convergence; homogenization theory
two-scale convergence; very weak two-scale convergence; periodic unfolding method; general two-scale convergence; homogenization theory
Summary:
The notions of the classical two-scale convergence and periodic unfolding method, which both rely on an additional scale for the representation of periodic micro-oscillations, are in this paper traced back to the wider concept of general two-scale convergence. Moreover, a comparison is made between very weak two-scale convergence and periodic unfolding with respect to sequences bounded in Sobolev spaces, amplified by the scale of micro-oscillations. It turns out that, for amplified sequences, these approaches are not equivalent in an immediate sense.
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