Multiscale nonconvex relaxation and application to thin films

Details Multiscale nonconvex relaxation and application to thin films Multiscale nonconvex relaxation and application to thin films

2006-04-26

arxiv.org/abs/math/0604567v1

Asymptotic Analysis, 48, no. 3 (2006), 173--218

Mathematics

Analysis of PDEs

40 pages, 5 figures

Scientific paper

$\Gamma$-convergence techniques are used to give a characterization of the behavior of a family of heterogeneous multiple scale integral functionals. Periodicity, standard growth conditions and nonconvexity are assumed whereas a stronger uniform continuity with respect to the macroscopic variable, normally required in the existing literature, is avoided. An application to dimension reduction problems in reiterated homogenization of thin films is presented.

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