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math.AP2024
Homogenization of non-local energies on disconnected sets
Andrea Braides, Sergio Scalabrino, Chiara Trifone
We consider the problem of the homogenization of non-local quadratic energies defined on -periodic disconnected sets defined by a double integral, depending on a kernel concentr…
math.AP2024
A closure theorem for -convergence and H-convergence with applications to non-periodic homogenization
Andrea Braides, Gianni Dal Maso, Claude Le Bris
In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energ…