Homogenization of quadratic convolution energies in periodically perforated domains (Q2156028)
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| English | Homogenization of quadratic convolution energies in periodically perforated domains |
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Homogenization of quadratic convolution energies in periodically perforated domains (English)
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15 July 2022
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The authors study the \(\Gamma\)-limit in \(L^2\) of a nonlocal quadratic functional, defined by a convolution, in a sequence of perforated domains. For this purpose, and related with the classical local setting, they introduce an original extension operator. The limit functional is given by a diffusion energy with constant coefficients defined through a nonlocal cell problem.
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homogenization
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convolution functionals
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perforated domains
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extension theorem
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nonlocal energies
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Gamma-convergence
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