Calculus of Variations and Geometric Measure Theory
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M. Focardi

$\Gamma$-convergence: a tool to investigate physical phenomena across scales

created by focardi on 06 Nov 2012

[BibTeX]

Published Paper

Inserted: 6 nov 2012

Journal: Mathematical Models and Methods in Applied Sciences
Volume: 35
Number: 14
Pages: 1613-1658
Year: 2012
Doi: 10.1002/mma.2551
Links:

Abstract:

De Giorgi's $\Gamma$-convergence is a variational theory modeled upon the convergence of families of (perturbed) minimum problems and of the corresponding minimizers.

In these notes, after reviewing briefly the basic theory and accounting for some recent new insights, we discuss three examples of static mechanical models, which can be analyzed by means of Γ-convergence arguments

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