De Giorgi’s Γ-convergence is a variational theory modelled 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.
Gamma-convergence: a tool to investigate physical phenomena across scales / Matteo Focardi. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 35:(2012), pp. 1613-1658. [10.1002/mma.2551]
Gamma-convergence: a tool to investigate physical phenomena across scales
FOCARDI, MATTEO
2012
Abstract
De Giorgi’s Γ-convergence is a variational theory modelled 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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