Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence
The authors study homogenization for certain problems. The approach is not classical; they use a convergence that they call ``very weak multiscale convergence'', already introduced in a previous paper by the same authors [Appl. Math. Lett. 23, No. 10, 1170--1173 (2010; Zbl 1198.35023)]. The idea is to find (via the very weak multiscale convergence) the scales of heterogeneity of a problem, even if it seems that one has to guess the frequencies of oscillation of the coefficients of the equation under study. As an example, they study the homogenization of particular linear parabolic equations in divergence form in which the matrix defining the operator depends on many variables.
scientific article; zbMATH DE number 5935723