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arXiv · 1909.02979

On the Gamma convergence of functionals defined over pairs of measures and energy-measures

Marco Caroccia·Riccardo Cristoferi
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Abstract

A novel general framework for the study of $Γ$-convergence of functionals defined over pairs of measures and energy-measures is introduced. This theory allows us to identify the $Γ$-limit of these kind of functionals by knowing the $Γ$-limit of the underlining energies. In particular, the interaction between the functionals and the underlining energies results, in the case these latter converge to a non continuous energy, in an additional effect in the relaxation process. This study was motivated by a question in the context of epitaxial growth evolution with adatoms. Interesting cases of application of the general theory are also presented.

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Marco Caroccia, Riccardo Cristoferi. 2020-02-25. On the Gamma convergence of functionals defined over pairs of measures and energy-measures. https://doi.org/10.1007/s00332-020-09623-y

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