The results on Gamma-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the Gamma-limit, which is then used to study deterministic and stochastic homogenization problems for this type of functional.

Homogenization of vectorial free-discontinuity functionals with cohesive type surface terms / Dal Maso, G., Donati, D.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - (2025), pp. 1-71. [10.1017/prm.2025.10055]

Homogenization of vectorial free-discontinuity functionals with cohesive type surface terms

Dal Maso G.;Donati D.
2025-01-01

Abstract

The results on Gamma-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the Gamma-limit, which is then used to study deterministic and stochastic homogenization problems for this type of functional.
2025
1
71
https://arxiv.org/abs/2409.07820
Dal Maso, G.; Donati, D.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/152450
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